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$5\frac{2}{3}$ DIVIDE BY $4$

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Convert between decimals and mixed numbers

Full solution

Q.

5\frac{2}{3}

DIVIDE BY

4

Convert to Improper Fraction: Convert the mixed number to an improper fraction. $\newline$ $5 \frac{2}{3}$ is the same as $(5 \times 3 + 2)/3$ , which equals $(15 + 2)/3$ or $\frac{17}{3}$ .
Set Up Division: Set up the division of the improper fraction by the whole number. We have $\frac{17}{3} \div 4$ , which is the same as $\frac{17}{3} \times \frac{1}{4}$ (since dividing by a number is the same as multiplying by its reciprocal).
Multiply Numerators and Denominators: Multiply the numerators and then the denominators. $\newline$ $(17 \times 1)/(3 \times 4)$ equals $17/12$ .
Simplify Fraction: Simplify the fraction if possible. $\frac{17}{12}$ is already in its simplest form, as $17$ is a prime number and cannot be divided evenly by $12$ .
Convert to Mixed Number: Convert the improper fraction back to a mixed number if desired. $\frac{17}{12}$ is $1$ with a remainder of $5$ , so it is $1\frac{5}{12}$ .

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