Question

Write $\frac{1}{2}$with denominator as $10,16,26,102,5000$. Can you write $\frac{1}{2}$ with denominator equal to $5.$

Answer 1

Write the Equivalent fraction with the given denominator.

$$\begin{gathered} \frac{1}{2}=\frac{n_1}{10} \\ {\text{2×n}}_1=1\times 10 \\ {\text{n}}_1=10÷2 \\ {\text{n}}_1=5 \\ \text{Equivalent fraction is}\frac{5}{10}. \end{gathered}$$

$$\begin{gathered} \frac{1}{2}=\frac{n_2}{16} \\ {\text{2×n}}_2=1\times 16 \\ {\text{n}}_2=16÷2 \\ {\text{n}}_2=8 \\ \text{Equivalent fraction is}\frac{8}{16}. \end{gathered}$$

$$\begin{gathered} \frac{1}{2}=\frac{n_3}{26} \\ {\text{2×n}}_3=1\times 26 \\ {\text{n}}_3=26÷2 \\ {\text{n}}_3=13 \\ \text{Equivalent fraction is}\frac{13}{26}. \end{gathered}$$

$$\begin{gathered} \frac{1}{2}=\frac{n_4}{102} \\ {\text{2×n}}_4=1\times 102 \\ {\text{n}}_4=102÷2 \\ {\text{n}}_4=51 \\ \text{Equivalent fraction is}\frac{51}{102}. \end{gathered}$$

$$\begin{gathered} \frac{1}{2}=\frac{n_5}{5000} \\ 2\times n_5=1\times 5000 \\ {n}_5=5000÷2 \\ {\text{n}}_5=2500 \\ \text{Equivalent fraction is}\frac{2500}{5000}. \end{gathered}$$

Since $5$ is not a multiple of $2$, therefore we cannot make the denominator equal to $5$.