Question

Write the following decimal as fraction and express your answer in lowest form.

$3.5$

Answer 1

Step 1: Decimal to fraction

In $3.5$, we have $3\mathrm{ones}\mathrm{and}5\mathrm{tenths}$.

$$\begin{gathered} \Rightarrow 3.5 \\ =3+\frac{5}{10} \end{gathered}$$ $\left(\because 1\mathrm{tenths}=\frac{1}{10}\right)$

$=\frac{30}{10}+\frac{5}{10}=\frac{30+5}{10}$

$=\frac{35}{10}$

Step 2: Lowest form

$\because 5$ is the common factor of $10$ and $35$.

$=\frac{{\sout{35}}^7}{{\sout{10}}^2}=\frac{7}{2}$

Hence, the fraction form of $3.5$$=\frac{35}{10}$ and the lowest form of $\frac{35}{10}$is $\frac{7}{2}$.