How do you simplify 35/6 + 7/12 - 1 1/3?

2 Answers
Cayetana ยท Stefan V.
Jun 4, 2018

Make all fractions improper, make the denominators the same, perform the addition and subtraction.

Explanation:

First, make the third fraction improper by multiplying 3 by 1 and adding 1. So, it will turn out to be

1 1/3 = (3 xx 1 + 1)/3 = 4/3

So 12 will be our common denominator.

Multiply 35/6 times 2/2 in order to make the denominator equal to twelve. Likewise, multiply 4/3 times 4/4 to make the denominator equal to twelve.

35/6 xx 2/2 = 70/12

4/3 xx 4/4 = 16/12

Once this is done, you have all your fractions under a common denominator, and you can now add and subtract.

70/12 + 7/12 - 16/3 = (70 + 7 - 16)/12 = 61/12

This result cannot be simplified further as 61 and 12 do not have common factors. So, your result would end up being 61/12.

Barney V.
Jun 5, 2018

61/12 or 5 1/12

Explanation:

35/6+7/12-1 1/3

:.=35/6+7/12-4/3

:.=(70+7-16)/12

:.=61/12 or 5 1/12

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