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Question 5.3.3: From Improper Fraction to Mixed Number Convert the following......

From Improper Fraction to Mixed Number

Convert the following improper fractions to mixed numbers.

a) \frac{8}{5}    b) \frac{255}{8}

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a) Divide the numerator, 8, by the denominator, 5.

\begin{aligned} \text { Divisor } \rightarrow 5) \frac{1}{8}& \leftarrow \text { Quotient } \\ \frac{5}{3} & \leftarrow \text { Dividend } \\ & \leftarrow \text { Remainde } \end{aligned}

Therefore,

Quotient  \frac{8}{5}=1 \frac{3}{5} \leftarrow \text { Remainder }

The mixed number is 1\frac{3}{5}

b) Divide the numerator, 225, by the denominator, 8.

\begin{aligned} \text { Divisor } \rightarrow \frac{28}{825} & \leftarrow \text { Quotient } \\ \frac{16}{65} & \leftarrow \text { Dividend } \\ \frac{64}{1} & \leftarrow \text { Remainder } \end{aligned}

Therefore,

\begin{aligned} & \text { Quotient } \\ & \begin{aligned} \frac{225}{8}=28 \frac{1}{8} & \leftarrow \text { Remainder } \\ & \leftarrow \text { Divisor } \end{aligned} \\ & \end{aligned}

The mixed number is 28\frac{1}{8}

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