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divide. \\(\\frac{4}{5} \\div 20 = \\square\\) submit

Question

divide.
\\(\frac{4}{5} \div 20 = \square\\)
submit

Explanation:

Step1: Recall division of fractions rule

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. The reciprocal of 20 is $\frac{1}{20}$. So, $\frac{4}{5} \div 20=\frac{4}{5} \times \frac{1}{20}$.

Step2: Multiply the fractions

Multiply the numerators and the denominators: $4\times1 = 4$ and $5\times20 = 100$. So we get $\frac{4}{100}$.

Step3: Simplify the fraction

Divide both the numerator and the denominator by their greatest common divisor, which is 4. $\frac{4\div4}{100\div4}=\frac{1}{25}$.

Answer:

$\frac{1}{25}$