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Divide. Write the quotient in lowest terms.

5(2)/(3)÷4=

Divide. Write the quotient in lowest terms. $\newline$ $5 \frac{2}{3} \div 4=$

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Divide whole numbers and unit fractions

Full solution

Q. Divide. Write the quotient in lowest terms.

\newline

5 \frac{2}{3} \div 4=

Write division as fraction: Write the division as a fraction. $\frac{5(2)}{3} \div 4$ can be written as $\frac{\frac{5(2)}{3}}{4}$ .
Convert mixed number to improper fraction: Convert the mixed number to an improper fraction. $5\left(\frac{2}{3}\right)$ is the same as $\left(5 \times 3 + 2\right)/3$ , which equals $(15 + 2)/3$ or $\frac{17}{3}$ .
Rewrite division as multiplication by reciprocal: Rewrite the division as multiplication by the reciprocal of $4$ . $\newline$ $\left(\frac{17}{3}\right) \div 4$ is the same as $\left(\frac{17}{3}\right) \times \left(\frac{1}{4}\right)$ .
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ $(17 \times 1) / (3 \times 4)$ equals $17/12$ .
Simplify fraction if possible: Simplify the fraction if possible. $\frac{17}{12}$ is already in its lowest terms because $17$ and $12$ have no common factors other than $1$ .

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