Question

If $5$ is added to both the numerator and the denominator of the fraction $\frac{5}{9}$, will the value of the fraction be changed?

If so, will the value increase or decrease?

Answer 1

Step 1: Solve for the required fraction

Given that $5$ is added to both the numerator and denominator of the fraction $\frac{5}{9}$

Then according to given data,

$\frac{5+5}{9+5}=\frac{10}{14}$

$=\frac{5}{7}$

Step 2: Check for the change in fraction

We can determine whether the fraction is increased or decreased by subtracting the old fraction from the newly obtained fraction; if the result is positive then there is an increase whereas if the result is negative then the fraction decreased.

$\therefore \frac{5}{7}-\frac{5}{9}=\frac{45-35}{63}$

$=\frac{10}{63}>0$

Hence the value of the fraction is changed and the value is increased