Question

Convert into mixed numbers.

(i) $\frac{30}{7}$

(ii) $\frac{7}{4}$

(iii) $\frac{15}{12}$

(iv) $\frac{11}{8}$

(v) $\frac{21}{4}$

(vi) $\frac{20}{7}$

Answer 1

(i)
$$\begin{gathered} \frac{30}{7}=\frac{28+2}{7} \\ =\frac{28}{7}+\frac{2}{7} \\ =4+\frac{2}{7} \\ =4\frac{2}{7} \end{gathered}$$

(ii)
$$\begin{gathered} \frac{7}{4}=\frac{4+3}{4} \\ =\frac{4}{4}+\frac{3}{4} \\ =1+\frac{3}{4} \\ =1\frac{3}{4} \end{gathered}$$

(iii)
$$\begin{gathered} \frac{15}{12}=\frac{12+3}{12} \\ =\frac{12}{12}+\frac{3}{12} \\ =1+\frac{3}{12} \\ =1\frac{3}{12} \end{gathered}$$

(iv)
$$\begin{gathered} \frac{11}{8}=\frac{8+3}{8} \\ =\frac{8}{8}+\frac{3}{8} \\ =1+\frac{3}{8} \\ =1\frac{3}{8} \end{gathered}$$

(v)
$$\begin{gathered} \frac{21}{4}=\frac{20+1}{4} \\ =\frac{20}{4}+\frac{1}{4} \\ =5+\frac{1}{4} \\ =5\frac{1}{4} \end{gathered}$$

(vi)
$$\begin{gathered} \frac{20}{7}=\frac{14+6}{7} \\ =\frac{14}{7}+\frac{6}{7} \\ =2+\frac{6}{7} \\ =2\frac{6}{7} \end{gathered}$$