Question

Express $\frac{14}{38}$ in lowest terms.

Answer 1

Step 1: Find the H.C.F. of numerator and denominator-

$$\begin{gathered} \Rightarrow 14=2\times 7 \\ \Rightarrow 38=2\times 19 \end{gathered}$$

$\Rightarrow$H.C.F. $=2$

Step 2: Divide both numerator and denominator with H.C.F.

$\Rightarrow \frac{14÷2}{38÷2}=\frac{7}{19}.$

Final Answer: $\frac{14}{38}$ in lowest terms $=\frac{7}{19}.$