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Divide. Write the quotient in lowest terms.

4(2)/(3)÷7=

Divide. Write the quotient in lowest terms. $\newline$ $4 \frac{2}{3} \div 7=$

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Multiply and divide rational expressions

Full solution

Q. Divide. Write the quotient in lowest terms.

\newline

4 \frac{2}{3} \div 7=

Rewrite division as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the divisor. So, $(4(2)/3) \div 7$ becomes $(4(2)/3) \times (1/7)$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(\frac{4 \times 2}{3}) \times (\frac{1}{7})$ becomes $(\frac{4 \times 2}{3 \times 7})$ .
Perform multiplication: Perform the multiplication in the numerator and the denominator. So, $(4 \times 2)/(3 \times 7)$ becomes $8/21$ .
Check for further simplification: Check if the fraction can be simplified further. Since $8$ and $21$ have no common factors other than $1$ , the fraction is already in its simplest form.

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