##### Fraction subtraction

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Sep 29th, 2015

The first thing you need to do is changed all mixed numbers to improper fractions.

Question 2:

2 and 11/15 : Multiply 2 by 15 and add 11 to it: 30 + 11 = 41; so 2 and 11/15 can also be written as 41/15.

Your need to do 41/15 - 9/10

Get a common denominator: the least common denominator between 15 and 10 is 30.

Multiply 41/15 by 2/2 to get 82/30

Multiply 9/10 by 3/3 to get 27/30

Subtract: 82/30 - 27/30 (subtract the numerators): 55/30

Simplify (divide numerator and denominator by 5): 55/30 = 11/6

Question 3:

1 and 1/6: Multiply 1 by 6 and add 1 to it: 6 + 1 = 7; so 1 and 1/6 can also be written as 7/6.

Your need to do 7/6 - 20/21

Get a common denominator: the least common denominator between 6 and 21 is 42.

Multiply 7/6 by 7/7 to get 49/42

Multiply 20/21 by 2/2 to get 40/42

Subtract: 49/42 - 40/42 (subtract the numerators): 9/42

Simplify (divide numerator and denominator by 3): 9/42 = 3/14

Question 4:

3 and 16/21: Multiply 3 by 21 and add 16 to it: 63 + 16 = 79; so 3 and 16/21 can also be written as 79/21.

Your need to do 79/21 - 5/6

Get a common denominator: the least common denominator between 6 and 21 is 42.

Multiply 79/21 by 2/2 to get 158/42

Multiply 5/6 by 7/7 to get 35/42

Subtract: 158/42 - 35/42 (subtract the numerators): 123/42

Simplify (divide numerator and denominator by 3): 123/42 = 41/14

Question 6:

7 and 5/6: Multiply 7 by 6 and add 5 to it: 42 + 5 = 47; so 7 and 5/6 can also be written as 47/6.

Your need to do 47/6 - 14/15

Get a common denominator: the least common denominator between 6 and 15 is 30.

Multiply 47/6 by 5/5 to get 235/30

Multiply 14/15 by 2/2 to get 28/30

Subtract: 235/30 - 28/30 (subtract the numerators): 207/30

Simplify (divide numerator and denominator by 3):207/30 = 69/10

Question 7:

3 and 8/15: Multiply 3 by 15 and add 8 to it: 45 + 8 = 53; so 3 and 8/15 can also be written as 53/15.

Your need to do 53/15 - 5/6

Get a common denominator: the least common denominator between 6 and 15 is 30.

Multiply 53/15 by 2/2 to get 106/30

Multiply 5/6 by 5/5 to get 25/30

Subtract: 106/30 - 25/30 (subtract the numerators): 81/30

Simplify (divide numerator and denominator by 3): 81/30 = 27/10

I hope this helps you move forward on these problems! Let me know if you need any more clarification!
Sep 29th, 2015

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Sep 29th, 2015
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Sep 29th, 2015
Oct 23rd, 2017
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