Question

# $\frac{29}{16}$, Classify the decimal form of the given rational numbers into terminating and non-terminating recurring types.

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Solution

## Classify the decimal form of the given rational numbers into terminating and non-terminating recurring types.$\frac{29}{16}$$\frac{29}{16}=\frac{29}{{2}^{4}×{5}^{0}}$$16=2×2×2×2$So the denominator of $\frac{29}{16}$is in the form of ${2}^{\mathrm{m}}×{5}^{\mathrm{n}}$Where $\mathrm{m},\mathrm{n}$ is a non-negative integer$\therefore$ The decimal form of$\frac{29}{16}$ is the terminating type

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