Question

I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as a mixed number is 2 1 3 . The sum of my numerator and denominator is 30. What fraction am I?

Answer 1

Answer:

The fraction is =  $\frac{21}{9}$

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as $2\frac{1}{3}$.

The fraction form of the mixed number can be given as :

$2\frac{1}{3}=\frac{7}{3}$

Let the fraction be = $\frac{7x}{3x}$ [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

$7x+3x=30$

Solving for $x$.

$10x=30$

Dividing both sides by 10.

$\frac{10x}{10}=\frac{30}{10}$

$x=3$

So, the fraction will be = $\frac{7\times 3}{3\times 3}$

⇒ $\frac{21}{9}$