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Evaluate.

(2)/(7)÷(8)/(3)=

Evaluate. $\newline$ $\frac{2}{7} \div \frac{8}{3}=$

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Add, subtract, multiply, and divide integers

Full solution

Q. Evaluate.

\newline

\frac{2}{7} \div \frac{8}{3}=

Understand the operation: Understand the operation to be performed. $\newline$ We need to divide the fraction $(\frac{2}{7})$ by the fraction $(\frac{8}{3})$ . In mathematical terms, this is written as $(\frac{2}{7}) \div (\frac{8}{3})$ .
Convert to multiplication by reciprocal: Convert the division of fractions into multiplication by the reciprocal. $\newline$ To divide by a fraction, we multiply by its reciprocal. The reciprocal of $(\frac{8}{3})$ is $(\frac{3}{8})$ . $\newline$ So, $(\frac{2}{7}) \div (\frac{8}{3})$ becomes $(\frac{2}{7}) \times (\frac{3}{8})$ .
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Now we multiply the numerators together and the denominators together. $\newline$ Numerator: $2 \times 3 = 6$ $\newline$ Denominator: $7 \times 8 = 56$ $\newline$ So, $(\frac{2}{7}) \times (\frac{3}{8}) = \frac{6}{56}$ .
Simplify the fraction: Simplify the fraction, if possible. $\newline$ The fraction $(\frac{6}{56})$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $6 \div 2 = 3$ $\newline$ $56 \div 2 = 28$ $\newline$ So, $(\frac{6}{56})$ simplifies to $(\frac{3}{28})$ .

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