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Question

# Write the following rational numbers in decimal form. (i) $\frac{13}{4}$ (ii) $\frac{-7}{8}$ (iii) $7\frac{3}{5}$ (iv) $\frac{5}{12}$ (v) $\frac{22}{7}$ (vi) $\frac{4}{3}$ (vii) $\frac{7}{9}$

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Solution

## (i) The given number is $\frac{13}{4}$. $\therefore \frac{13}{4}=3.25$ The decimal form of $\frac{13}{4}$ is 3.25. (ii) The given number is $-\frac{7}{8}$. $\therefore \frac{7}{8}=0.875$ The decimal form of $-\frac{7}{8}$ is − 0.875. (iii) The given number is $7\frac{3}{5}$. $7\frac{3}{5}=\frac{7×5+3}{5}=\frac{35+3}{5}=\frac{38}{5}$ $\therefore \frac{38}{5}=7.6$ The decimal form of $7\frac{3}{5}$ is 7.6. (v) The given number is $\frac{22}{7}$. $\therefore \frac{22}{7}=3.142857142857....=3.\overline{)142857}$ The decimal form of $\frac{22}{7}$ is $3.\overline{)142857}$. (vi) The given number is $\frac{4}{3}$. $\therefore \frac{4}{3}=1.33....=1.\overline{)3}$ The decimal form of $\frac{4}{3}$ is $1.\overline{)3}$. (vii) The given number is $\frac{7}{9}$. $\therefore \frac{7}{9}=0.77....=0.\overline{)7}$ The decimal form of $\frac{7}{9}$ is $0.\overline{)7}$.

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