6th Grade Fractions Worksheets
In 6th grade, students learn to multiply and divide fractions, which can be much more difficult than adding and subtracting fractions. To help your child adjust to this shift, try giving him a worksheet for practice. Read on for tips and sample problems that can help you when you create your own worksheet.
How to Write a 6th Grade Fractions Worksheet
The benefit of providing your student with a worksheet is that she gets a lot of practice from an assortment of problems. When creating your own worksheet, consider including many problems on the page with a wide variety of number combinations. Also consider writing the problems by hand so you can format them clearly. The numerator should be positioned over the denominator, with a straight line separating them. When multiplying and dividing fractions, two aspects are most difficult to remember:
1. When dividing fractions, flip the second fraction upside down. This is called the reciprocal. After this step, the first fraction can be multiplied by the reciprocal.
2. After the problem is solved, make sure your child is simplifying the fraction. This can be hard to remember because it is the final step, but the answer should always be in its simplest form. For instance, if the answer is 8/12, it can be simplified to 2/3.
Problems by Concept
Multiplication
1. 2/3 x 2/5
The answer to this problem is 4/15. Begin by multiplying the numerators (2 x 2 = 4). Then, multiply the denominators (3 x 5 = 15).
2. 1/3 x 5/6
The answer is 5/18.
3. 5/2 x 1/7
The answer is 5/14.
4. 4/8 x 9/2
The answer is 36/16, which can be simplified to 9/4.
5. 8/1 x 2/6
The answer is 16/6, which can be simplified to 8/3.
Division
1. 2/8 ÷ 4/5
The answer is 5/16. Remember to begin by flipping the second fraction, so the problem can be rewritten like this: 2/8 x 5/4. Then this problem can be continued like a multiplication problem. The numerators are multiplied, and then the denominators. The final answer is 10/32, which can be reduced to 5/16.
2. 1/3 ÷ 3/5
The answer is 5/9.
3. 3/2 ÷ 6/8
The answer is 24/12. This can be simplified to 2/1, or even more simply, 2.
4. 2/8 ÷ 4/6
The answer is 12/32, which is simplified to 3/8.
5. 1/2 ÷ 1/3
The answer is 3/2.
Mixed Numbers
If your child has mastered the problems above, challenge him by adding in a few mixed numbers. Mixed numbers are more difficult because they require an additional step. Before tackling the multiplication or division problem, the mixed number must first be turned into an improper fraction. Try out the following problem:
2 6/8 x 4
The answer is 11. Begin by turning the mixed number into an improper fraction. Multiply the denominator (8) by 2, then add the numerator (6). The first fraction should be 22/8. Turn 4 into an improper fraction by adding one as the denominator. Solve the problem like a normal multiplication problem. The answer is 88/8, which is simplified to 11.
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