Question

divide.
\frac{20}{21} \div 4 = \square
submit

Explanation:

Step1: Recall fraction division rule

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. The reciprocal of 4 is $\frac{1}{4}$. So, $\frac{20}{21} \div 4=\frac{20}{21} \times \frac{1}{4}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $20\times1 = 20$. Multiply the denominators: $21\times4 = 84$. So we have $\frac{20}{84}$.

Step3: Simplify the fraction

Find the greatest common divisor (GCD) of 20 and 84. The GCD of 20 and 84 is 4. Divide both the numerator and denominator by 4: $\frac{20\div4}{84\div4}=\frac{5}{21}$.

Answer:

$\frac{5}{21}$