What is 27/45 Divided By 8/7

Solving $\frac{27}{45}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{45} \div \frac{8}{7} = \frac{27}{45} \times \frac{7}{8}$

• Multiply the Numerators: $27 \times 7 = 189$
• Multiply the Denominators: $45 \times 8 = 360$
• Form the New Fraction: $\frac{27}{45} \times \frac{8}{7} = \frac{189}{360}$

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 $\frac{27}{45}\div\frac{8}{7} = \frac{21}{40}$

The following animation demonstrates the divide-by,