If you write a fraction that is equivalent to 3/5 but has denominator 30, my number will be the sum of the numerator and the denominator of this fraction. What is my number?

Respuesta :

Given:

The fraction is [tex]\dfrac{3}{5}[/tex].

Denominator of equivalent fraction is 30.

To find:

The sum of numerator and the denominator of this fraction.

Solution:

We have,

[tex]Fraction=\dfrac{3}{5}[/tex]

To make denominator 30 multiply the numerator and denominator by 6.

[tex]Fraction=\dfrac{3\times 6}{5\times 6}[/tex]

[tex]Fraction=\dfrac{18}{30}[/tex]

Now, add numerator add denominator.

[tex]18+30=48[/tex]

Therefore, the required number is 48.

Q&A Education