What is 27/45 Divided By 7/8

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $45 \times 7 = 315$
• Form the New Fraction: $\frac{27}{45} \times \frac{7}{8} = \frac{216}{315}$

Let's Simplify $\frac{216}{315}$

• Find the Greatest Common Divisor (GCD) of $216$ and $315$. The GCD of $216$ and $315$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 9}{315 \div 9} = \frac{24}{35}$

Answer $\frac{27}{45}\div\frac{7}{8} = \frac{24}{35}$

The following animation demonstrates the divide-by,