Question

What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 5/7 ?

Answer 1

Answer:

Step-by-step explanation:

Let the number = x

So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.

You can write this as:

$\frac{ 5-x}{3 - x} = \frac{5}{7}$

Then you want to get rid of the fractions so multiply both sides by 3-x

$5 - x =$ $\frac{5 ( 3 - x)}{7}$

Then multiply both sides by 7

$7( 5 - x) = 5 ( 3 - x)$

Multiply it out.

35 - 7x = 15 - 5x

Add 7x to both sides:

35 = 15 - 5x + 7x

35 = 15 + 2x

Subtract 15 from both sides

35 - 15 = 2x

20 = 2x

To find x, divide both sides by 2.

x = 10.