What is 28/63 Divided By 1/5

Solving $\frac{28}{63}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{63} \div \frac{1}{5} = \frac{28}{63} \times \frac{5}{1}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $63 \times 1 = 63$
• Form the New Fraction: $\frac{28}{63} \times \frac{1}{5} = \frac{140}{63}$

Let's Simplify $\frac{140}{63}$

• Find the Greatest Common Divisor (GCD) of $140$ and $63$. The GCD of $140$ and $63$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 7}{63 \div 7} = \frac{20}{9}$

Answer $\frac{28}{63}\div\frac{1}{5} = \frac{20}{9}$

The following animation demonstrates the divide-by,