Dividing Fractions 1
2 1/2 ÷ 2 2/7
1 3/32
1 7/9 ÷ 1 2/9
1 5/11
2
17. 2 1/2÷ 1 1/4
2 1/3
18. 1 ¾ ÷ ¾
3 3/4 ÷ 1 2/3
2 1/4
3/7 ÷ 5/9
27/35
1 2/7 ÷ 3 1/3
27/70
1/5 ÷ 2/3
3/10
1/3 ÷ 3/4
4/9
2 1/7 ÷ 2 1/5
75/77
2/9 ÷ 3/4
8/27
4/9 ÷ 1/2
8/9
1/10
9. 1/12 ÷ 5/6
1/4 ÷ 7/9
9/28
1/4 ÷ 8/9
9/32
Simplify
Finding the smallest denominator for a fraction.
Quotient
The answer to a division problem.
Product
The answer to a multiplication problem.
Denominator
The bottom number in a fraction. The number of parts to make a whole.
Factor
The numbers you multiply to find a product.
Numerator
The top number in a fraction. How many parts you have.
Mixed Number
When a fraction and a whole number are mixed.
Being "top-heavy" or a greater numerator than denominator
improper fraction
5th step to dividing fractions
simplify or reduce
Improper Fraction
When the numerator is greater than the denominator.
2nd step to dividing fractions
change the sign to multiplication
the bottom number in a fraction
denominator
3rd step to dividing fractions
flip the second fraction
A fraction with a whole number
mixed fraction
2 1/2 ÷ 1 5/8
1 7/13
1 3/4 ÷ 3 1/2
1/2
1/2 ÷ 2/3
3/4
1 1/2 ÷ 2 1/2
3/5
2 2/7 ÷ 6 1/2
32/91
1 2/3 ÷ 5 2/3
5/17
1/7 ÷ 1/5
5/7
2 2/7 ÷ 3 1/4
64/91
Mixed Number or Mixed Fraction
When a fraction and a whole number are mixed.
1st step to dividing fractions
keep the first fraction
4th step to dividing fractions
multiply the problem through
3/9 simplify
1/3
8
10. 6 ÷ ¾
2/5
12. 4/5 ÷ 2
7/24
13. 7/8 ÷ 3
1/18
14. 4/9 ÷ 8
2 1/4
15. 1 1/2 ÷ 2/3
9/16
16. ¾÷ 1 1/3
The top number in a fraction
numerator
3/12 simplify
1/4
3 1/3 ÷ 8 1/2
20/51
Steps to Dividing Fractions Example used is 1/2 divided 1/4
1/2 divided by 1/4 1. keep the first fraction -leave the first fraction (1/2) just how it is 2. change the sign to multiplication -change the division sign to mulitiplication to remind you *Top TIMES Top and Bottom TIMES Bottom* 3. flip the second fraction - make the 2nd fraction (1/4) look like (4/1) by flipping it 4. multiply the problem through - now multiply the 1st fraction (1/2) TIMES the 2nd fraction (4/1). *Top TIMES Top and Bottom TIMES Bottom* A.) Multiply two top numbers (numerators) - #1 TIMES #4 is equal to 4 *the top of the fraction is now 4 B.) Multiply two bottom numbers (denominators) - #2 TIMES #1 is equal to 2 *the bottom of the fraction is now 2 C.) The answer to 1/2 divided by 1/4 is equal to 4/2 - it is the same as saying 1/2 X 4/1 is equal to 4/2 - because we flipped the 2nd & multiplied 5. Simplify or REDUCE - the fraction 4/2 will reduce because it is even - the top # (4) divided by 2 is equal to 2 - the bottom # (2) divided by 2 is equal to 1 - when you write the fraction it looks like 2/1 (or just 2) * this is improper so divide the top # by the bottom # * 2 divided by 1 is equal to 1
1/3 ÷ 7/10
10/21
5 5/9
11. 5 ÷ 9/10
Steps to dividing whole numbers and fractions Example used is 2 divided by 3/4
2 divided by 3/4 A. Change the whole number to a fraction - #2 as a fraction by adding a 1 as the bottom number * 2 is equal to 2/1 now B. It now looks like 2/1 divided by 3/4 **Go through steps for dividing fractions** 1. keep the first fraction -leave the first fraction (2/1) just how it is 2. change the sign to multiplication -change the division sign to multiplication to remind you *Top TIMES Top and Bottom TIMES Bottom* 3. flip the second fraction - make the 2nd fraction (3/4) look like (4/3) by flipping it 4. multiply the problem through - now multiply the 1st fraction (2/1) TIMES the 2nd fraction (4/3). * 2/1 X 4/3 **TOP TIMES TOP AND BOTTOM TIMES BOTTOM** A.) Multiply two top numbers (numerators) - #2 TIMES #4 is equal to 8 *the top of the fraction is now 8 B.) Multiply two bottom numbers (denominators) - #1 TIMES #3 is equal to 3 *the bottom of the fraction is now 3 C.) The answer to 2 divided by 3/4 is equal to 8/3 - it is the same as saying 2 X 4/3 is equal to 8/3 - because we flipped the 2nd & multiplied 5. Simplify or REDUCE - the fraction 8/3 will not reduce because it is as low as it can be. * since it is an improper fraction (top heavy).....so divide the top # by the bottom # * you have to divide the top # (8) by the bottom # (3) * 3 will go into 8 "2 times (3X2=6)" *you still have some left over (this makes the fraction) - it now looks like 2 2/3 or can be left as 8/3 (2 divided by 3/4 equals 8/3 or 2 2/3)
3
7. ¾ ÷ ¼
1/5 ÷ 2/7
7/10
7/49 simplfy
7/49 1. Simplifying is the same as Reducing 2. You divided the top number by 7 (7/7 = 1) 3. You must also divide the bottom number by 7 (49/7 = 7) 4. your answer to simplifying or reducing the fraction is 1/7
10
8. 5/6 ÷ 1/12
Reciprocal
Swap over the numerator and denominator
Simplify
To reduce or make smaller
