Question

What is the number that must be added to the numerator and denominator of the fraction
6
7
9
so that the fraction takes the new value as
10
?​

Answer 1

Step-by-step explanation:

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ALGEBRA 1

Breanna M. asked • 02/29/16

What number must be added to both, the numerator and the denominator of 11/19 to make the resulting fraction equal to 5/7

How to find the new fraction

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Candace S. answered • 02/29/16

TUTOR 4.9 (28)

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Hi Breanna,

What number must be added to both, the numerator and the denominator of 11/19 to make the resulting fraction equal to 5/7

How to find the new fraction

First we need to set up the equation:

Let x=the number

(11+x)= 5

------- --

(19+x) 7

Now cross multiply:

7(11+x)=5(19+x)

Use the distributive property:

77+7x=95+5x

Add -5x to both sides:

77+2x=95

Add -77 to both sides:

2x=18

Divide both sides by 2:

x=9