Question

Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction

Answer 1

17 is added to both numerator and denominator.

Explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

`(1+a)/(10+a)=(2)/(3)\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17`

Therefore, 17 is added to both numerator and denominator.