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divide. $\frac{4}{5}div2 = square$

Question

divide. $\frac{4}{5}div2 = square$

Explanation:

Step1: Rewrite division as multiplication

Dividing by a number is the same as multiplying by its reciprocal. So $\frac{4}{5}\div2$ can be written as $\frac{4}{5}\times\frac{1}{2}$.
$\frac{4}{5}\times\frac{1}{2}$

Step2: Multiply numerators and denominators

Multiply the numerators together ($4\times1 = 4$) and the denominators together ($5\times2=10$).
$\frac{4\times1}{5\times2}=\frac{4}{10}$

Step3: Simplify the fraction

Divide both the numerator and denominator by their greatest - common divisor, which is 2.
$\frac{4\div2}{10\div2}=\frac{2}{5}$

Answer:

$\frac{2}{5}$