Question

if a certain number is added to both to the numerator and to the denominator of 9 /17the new fraction reduced to 5 /7 find the number​

Answer 1

$\frac{9 \: + \: x \: }{ \: 17 \: + \: x \: } = \frac{5}{7}$

Hence x = 11.

Hope this helps you.

PLZ MARK AS BRAINLIEST ☝ ☝

Answer 2

The number added to both is 6.

• Given fraction is 9/17 .
• When a certain number is added to the numerator and the denominator , the fraction is reduced to 5/7.
• Let us consider the number to be 'x'.
• Now according to the condition given,

$\frac{9+x}{17+x}$ = $\frac{5}{7}$

Cross multiplying both sides,

63 + 7x= 85 + 5x

2x = 12

x = 6

• The number added to numerator and denominator is 6.