What is 27/72 Divided By 5/7

Solving $\frac{27}{72}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{72} \div \frac{5}{7} = \frac{27}{72} \times \frac{7}{5}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $72 \times 5 = 360$
• Form the New Fraction: $\frac{27}{72} \times \frac{5}{7} = \frac{189}{360}$

Let's Simplify $\frac{189}{360}$

• Find the Greatest Common Divisor (GCD) of $189$ and $360$. The GCD of $189$ and $360$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{189 \div 9}{360 \div 9} = \frac{21}{40}$

Answer $\frac{27}{72}\div\frac{5}{7} = \frac{21}{40}$

The following animation demonstrates the divide-by,