Fraction subtraction

Mathematics
Tutor: None Selected Time limit: 1 Day

Sep 29th, 2015

Thank you for the opportunity to help you with your question!

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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