# Number system practice

Rational Numbers between 2 fractions

$$frac{3}{4}$ = $\frac{3 \times 5}{4 \times 5}$ = $\frac{15}{20}$ $\frac{4}{5}$ = $\frac{4 \times 4}{5 \times 4}$ = $\frac{16}{20}$ ##### Step 2: Compute equivalent fractions with room to fit 5 integers between 15 and 16 If you have to find ‘n’ rational numbers, multiply and divide both the equivalent fractions that we have computed in step 1 by$n + 1).
We have to find 5 rational numbers. So, multiply and divide both these fractions by (5 + 1) = 6.

$\frac{15}{20}$ $\times$ $\frac{6}{6}$ = $\frac{90}{120}$

$\frac{16}{20}$ $\times$ $\frac{6}{6}$ = $\frac{96}{120}$

5 rational numbers between $\frac{90}{120}$ and $\frac{96}{120}$ are $\frac{91}{120}$, $\frac{92}{120}$, $\frac{93}{120}$, $\frac{94}{120}$, $\frac{95}{120}$