Fractions Homework Problems
Fraction worksheets 1
Fraction addition, subtraction, multiplication, and division
This worksheet generator produces a variety of worksheets for the four basic operations (addition, subtraction, multiplication, and division) with fractions and mixed numbers, including with negative fractions. You can make the worksheets in both html and PDF formats. You can choose like or unlike fractions, make missing number problems, restrict the problems to use proper fractions or to not to simplify the answers. Further, you can control the values of numerator, denominator, and the whole-number part to make the fractions or mixed numbers as easy or difficult as you like.
Basic instructions for the worksheets
Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.
You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled "Create PDF" or "Make PDF worksheet". To get the worksheet in html format, push the button "View in browser" or "Make html worksheet". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.
Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:
- PDF format: come back to this page and push the button again.
- Html format: simply refresh the worksheet page in your browser window.
Tip: chose value 1 to be a fraction and value 2 to be a mixed number, and then tick the box of "Value 1 - Value 2 random switching" to make problems where either the first or the second number is a mixed number. Just experiment with the options to customize the worksheets as you like!
Here are some quick links for ready worksheets. Refresh the worksheet page to get another of the same kind.
- Addition and subtraction of like fractions (2 fractions, easy, for 4th grade)
- Addition and subtraction of like fractions (3 fractions, for 4th grade)
- Addition and subtraction of 2 mixed numbers with like fractional parts (for 4th grade)
- Add & subtract 2 unlike fractions (for 5th grade)
- Add & subtract 3 unlike fractions (for 6th grade)
- Multiply a fraction by a whole number (for 5th grade)
- Multiply fractions and mixed numbers (mixed problems, for 5th grade)
- Division of fractions, special case (answers are whole numbers, for 5th grade)
- Divide by fractions (mixed problems, for 6th grade)
- Add two unlike fractions (incl. negative fractions, for 7th-8th grade)
- Add three unlike fractions (incl. negative fractions, for 7th-8th grade)
- Add or subtract 2 unlike fractions (negative fractions, for 7th-8th grade)
Worksheets for comparing fractions
Worksheets for equivalent fractions
Worksheets for fraction addition
Worksheets for fraction multiplication
Worksheets for simplifying fractions, and converting fractions to mixed numbers and vv.
Free fraction lessons
Interactive Unit Fractions
Drag unit fraction pieces (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1,10, 1/12, 1,16, and 1/20) onto a square that represents one whole. You can see that, for example, 6 pieces of 1/6 fit into one whole, or that 3 pieces of 1/9 are equal to 1/3, and many other similar relationships.
Fraction worksheets generator
Use the generator below to make customized worksheets for fraction operations.
Fraction worksheets generator
Key to Fractions Workbooks
These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.
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Fractions Worksheets Sub-Topics
Welcome to the fractions worksheets page at Math-Drills.com where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets.
This page includes Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions. We start you off with the obvious: modeling fractions. It is a great idea if students can actually understand what a fraction is, so please do spend some time with the modeling aspect. Relating modeling to real life helps a great deal too as it is much easier to relate to half a cookie than to half a square. Ask most students what you get if you add half a cookie and another half a cookie, and they'll probably let you know that it makes one delicious snack.
The other fractions worksheets on this page are devoted to helping students understand the concept of fractions. From comparing and ordering to simplifying and converting... by the time students master the material on this page, operations of fractions will be a walk in the park.
Most Popular Fractions Worksheets this Week
General Use Fractions Printables
General use fractions printables that are used in a variety of contexts when understanding and calculating fractions.
The black and white fraction circles can be used as a manipulative to compare fractions. Photocopy the worksheet onto an overhead projection slide. Use a pencil to lightly color the appropriate circle to represent the first fraction on the paper copy. Use a non-permanent overhead pen to color the appropriate circle to represent the second fraction. Lay the slide over the paper and compare the two circles. You should easily be able to tell which is greater or lesser or if the two fractions are equal. Re-use both sheets by erasing the pencil and washing off the marker.
Fraction strips can be laminated for durability and cut out to compare, order, add and subtract fractions. They are very useful for comparing fractions. You can also copy the fractions strips onto overhead projection slides and cut them out. Not only will they be durable, they will also be transparent which is useful when used in conjunction with paper versions (e.g. for comparing fractions).
Modeling Fractions Worksheets
Modeling fractions worksheets including modeling with collections of shapes and by dividing shapes into equal sections.
Besides using the worksheets below, you can also try some more interesting ways of modeling fractions. Healthy snacks can make great models for fractions. Can you cut a cucumber into thirds? A tomato into quarters? Can you make two-thirds of the grapes red and one-third green?
Ratio and Proportion Worksheets
Math worksheets for learning ratio and proportion including picture ratios and equivalent fractions and ratios worksheets.
Please note that the picture ratio worksheets below are large and may take time to load if you are on a slower connection.
Comparing & Ordering Fractions Worksheets
Comparing and ordering fractions worksheets for learning about the relative sizes of fractions.
There are many different strategies other than staring at the page that will help in comparing fractions. Try starting with something visual that will depict the fractions in question. We highly recommend our fraction strips (scroll up a bit). Using a straight edge like a ruler or book or folding will help students to easily see which fraction is greater or if they are equal. We should also mention that the things that are compared should be the same. Each fraction strip for example is the same size whereas if you took a third of a watermelon and half of a grape, the watermelon would probably win out.
Another strategy to use when comparing fractions is to use a number line and to use benchmarks like 0, 1, 1/2 to figure out where each fraction goes then see which one is bigger. Students actually do this one all the time since they can often compare fractions by recognizing that one is less than half and the other is greater than half. They might also see that one fraction is much closer to a whole than another fraction even though they might both be greater than a half.
We'll mention one other strategy, but there are more. This one requires a little bit more knowledge, but it works out well in the long run because it is a certain way of comparing fractions. Convert each fraction to a decimal and compare the decimals. Decimal conversions can be memorized (especially for the common fractions) calculated with long division or using a calculator or look-up table. We suggest the latter since using a look-up table often leads to mental recall.
Many of the same strategies that work for comparing fractions also work for ordering fractions. Using manipulatives such as fraction strips, using number lines, or finding decimal equivalents will all have your student(s) putting fractions in the correct order in no time. We've probably said this before, but make sure that you emphasize that when comparing or ordering fractions, students understand that the whole needs to be the same. Comparing half the population of Canada with a third of the population of the United States won't cut it. Try using some visuals to reinforce this important concept. Even though we've included number lines below, feel free to use your own strategies.
Simplifying & Converting Fractions Worksheets
Simplifying fractions and converting fractions to other number formats worksheets to give students some necessary skills for more complex fractions topics.
Learning how to simplify fractions makes a student's life much easier later on when learning operations with fractions. It also helps them to learn that different-looking fractions can be equivalent. One way of demonstrating this is to divide out two equivalent fractions. For example 3/2 and 6/4 both result in a quotient of 1.5 when divided. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions.
Converting fractions to decimals and other number formats
Converting Fractions to Terminating DecimalsConverting Fractions to Terminating and Repeating DecimalsConverting Terminating Decimals to FractionsConverting Terminating and Repeating Decimals to FractionsConverting Fractions to HundredthsConverting Fractions to Decimals, Percents and Part-to-Part RatiosConverting Fractions to Decimals, Percents and Part-to-Whole RatiosConverting Decimals to Fractions, Percents and Part-to-Part RatiosConverting Decimals to Fractions, Percents and Part-to-Whole RatiosConverting Percents to Fractions, Decimals and Part-to-Part RatiosConverting Percents to Fractions, Decimals and Part-to-Whole RatiosConverting Part-to-Part Ratios to Fractions, Decimals and PercentsConverting Part-to-Whole Ratios to Fractions, Decimals and PercentsConverting Various Fractions, Decimals, Percents and Part-to-Part RatiosConverting Various Fractions, Decimals, Percents and Part-to-Whole RatiosConverting Various Fractions, Decimals, Percents and Part-to-Part Ratios with 7ths and 11thsConverting Various Fractions, Decimals, Percents and Part-to-Whole Ratios with 7ths and 11ths(OLD) Converting Fractions, Decimals, Percents and Ratios
Multiplying Fractions Worksheets
Multiplying fractions is usually less confusing operationally than any other operation and can be less confusing conceptually if approached in the right way. The algorithm for multiplying is simply multiply the numerators then multiply the denominators. The magic word in understanding the multiplication of fractions is, "of." For example what is two-thirds OF six? What is a third OF a half? When you use the word, "of," it gets much easier to visualize fractions multiplication. Example: cut a loaf of bread in half, then cut the half into thirds. One third OF a half loaf of bread is the same as 1/3 x 1/2 and tastes delicious with butter.
Dividing Fractions Worksheets
Conceptually, dividing fractions is probably the most difficult of all the operations, but we're going to help you out. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer which is extremely important especially if you're building a bridge. We told you how to conceptualize fraction multiplication, but how does it work with division? Easy! You just need to learn the magic phrase: "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions, but it isn't a giant leap to figure it out. 1/2 ÷ 1/4 is a fairly easy example, especially if you think in terms of U.S. or Canadian coins. How many quarters are there in a half dollar?
Adding Fractions Worksheets
Adding fractions requires the annoying common denominator. Make it easy on your students by first teaching the concepts of equivalent fractions and least common multiples. Once students are familiar with those two concepts, the idea of finding fractions with common denominators for adding becomes that much easier. Spending time on modeling fractions will also help students to understand fractions addition. Relating fractions to familiar examples will certainly help. For example, if you add a 1/2 banana and a 1/2 banana, you get a whole banana. What happens if you add a 1/2 banana and 3/4 of another banana?
Subtracting Fractions Worksheets
There isn't a lot of difference between adding and subtracting fractions. Both require a common denominator which requires some prerequisite knowledge. The only difference is the second and subsequent numerators are subtracted from the first one. There is a danger that you might end up with a negative number when subtracting fractions, so students might need to learn what is means in that case. When it comes to any concept in fractions, it is always a good idea to relate it to a familiar or easy-to-understand situation. For example, 7/8 - 3/4 = 1/8 could be given meaning in the context of a race. The first runner was 7/8 around the track when the second runner was 3/4 around the track. How far ahead was the first runner? (1/8 of the track).
Mixed Operations Fractions Worksheets
Mixing up the signs on operations with fractions worksheets makes students pay more attention to what they are doing and allows for a good test of their skills in more than one operation.
Order of Operations with Fractions Worksheets
As with other order of operation worksheets, the fractions order of operations worksheets require some pre-requisite knowledge. If your students struggle with these questions, it probably has more to do with their ability to work with fractions than the questions themselves. Observe closely and try to pin point exactly what pre-requisite knowledge is missing then spend some time going over those concepts/skills before proceeding. Otherwise, the worksheets below should have fairly straight-forward answers and shouldn't result in too much hair loss.