Get premium membership and access questions with answers, video lessons as well as revision papers.

The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction

      

The numerator of a fraction is three less than the denominator. When both the numerator and the denominator are increased by 5, the fraction becomes $\frac{5}{6}$. Find the original fraction

  

Answers


John
Let denominator be x

Therefore numerator = x – 3

The fraction is $\frac{x - 3}{x}$

When both numerators and denominators are increased by 5,

$\frac{x – 3 + 5}{x + 5}$ = $\frac{5}{6}$

$\frac{x + 2}{x + 5}$ = $\frac{5}{6}$

6x + 12 = 5x + 25; x = 13

Original fraction is $\frac{10}{13}$

johnmulu answered the question on March 6, 2017 at 05:30


Next: Evaluate $\frac{200\div 4 – (40 - 54)}{-72\div 6 + 20\; of\; 6 – 9\times 4}$
Previous: Simplify the expression: 4x - $\frac{3x + y}{8}$ - $\frac{x – 3y}{4}$

View More Mathematics Questions and Answers | Return to Questions Index


Learn High School English on YouTube

Related Questions