Multiplying and dividing positive and negative fractions worksheet pdf
File Name: multiplying and dividing positive and negative fractions worksheet .zip
Welcome to the fractions worksheets page at Math-Drills. 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.
Multiplying positive and negative fractions
Welcome to the fractions worksheets page at Math-Drills. 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 Most Popular Fractions Worksheets this Week. 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.
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? Fractions can represent parts of a group or parts of a whole. In these worksheets, fractions are modeled as parts of a group. More picture ratios can be found on holiday and seasonal pages.
Try searching for picture ratios to find more. The equivalent fractions models worksheets include only the "baking fractions" in the A versions. To see more difficult and varied fractions, please choose the B to J versions after loading the A version. 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.
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.
Another strategy for comparing fractions is to 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. The ordering fractions worksheets in this section do not include a number line, to allow for students to use various sorting strategies.
Rounding fractions helps students to understand fractions a little better and can be applied to estimating answers to fractions questions. 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. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions. 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. 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. 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? How many quarters are there in a half dollar? 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. A common strategy to use when adding mixed fractions is to convert the mixed fractions to improper fractions, complete the addition, then switch back.
Another strategy which requires a little less brainpower is to look at the whole numbers and fractions separately. Add the whole numbers first. Add the fractions second. If the resulting fraction is improper, then it needs to be converted to a mixed number. The whole number portion can be added to the original whole number portion. 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. How far ahead was the first runner?
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. Although some of these worksheets are single operations, it should be helpful to have all of these in the same location. There are some special considerations when completing operations with negative fractions. It is usually very helpful to change any mixed numbers to an improper fraction before proceeding.
Order of operations with fractions worksheets with both positive and negative fractions options and a variety of complexity.
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. Otherwise, the worksheets below should have fairly straight-forward answers and shouldn't result in too much hair loss.
Fractions Worksheets. Fraction Circles. Fraction Strips. Modeling fractions with groups of shapes. Modeling fractions with rectangles.
Modeling fractions with circles. Picture ratios.
Nann Sasha October 16, worksheets. Pamela Haack is an instructive expert, national moderator and keynote speaker. Standing up noisy is significant for figuring out how to happen. Preferably, all worksheets ought to incorporate this guidance. Arranging Worksheets for Kids.
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Prealgebra Skill. Multiplying and Dividing Signed Fractions. Evaluate. 1) −. 1. 9. ⋅. 6. 2) −. 5. 3. ⋅ −. 5. 4. 3). 4. 3. ⋅ −. 7. 4) −. 4. 3. ⋅. 3. 4. 5). 7. 4.
Multiplying And Dividing Fractions
Here is a graphic preview for all of the fractions worksheets. You can select different variables to customize these fractions worksheets for your needs. The fractions worksheets are randomly created and will never repeat so you have an endless supply of quality fractions worksheets to use in the classroom or at home. Our fractions worksheets are free to download, easy to use, and very flexible. These fractions worksheets are a great resource for children in Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, and 5th Grade.
Integers Tic-Tac-Toe - Adding, Subtracting, Multiplying, and Dividing Integers Have your students practice adding, subtracting, multiplying, and dividing integers in a fun way. Students learn about rational and irrational numbers, and answer problems related to each set. Students pick their own colors and answer each problem. Score : Printable Math Worksheets www. Key concept: Students need to know and review their basics to progress through higher math.
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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.