Question

Subtract. Write the difference in the lowest terms.

$$\begin{gathered} \frac{7}{10} \\ -\frac{1}{2} \end{gathered}$$

Answer 1

For, unlike fraction, we will convert the given unlike fraction into an equivalent fraction having the same denominator, and then we will subtract the numerators keeping denominators as same as equivalent fractions.

Given:$\frac{7}{10}-\frac{1}{2}$

$$\begin{gathered} \frac{7}{10}-\frac{1}{2}=\frac{7}{10}-\frac{5}{10}(writing\frac{1}{2}inequivalentfractionhavingdenominatoras10) \\ =\frac{7-5}{10} \\ =\frac{2}{10}(dividingnumerator\&denominatorbyacommonfactor2) \\ =\frac{1}{5} \end{gathered}$$

Therefore the required difference in the lowest term is $\frac{1}{5}$