What is 54/81 Divided By 7/8

Solving $\frac{54}{81}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{7}{8} = \frac{54}{81} \times \frac{8}{7}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $81 \times 7 = 567$
• Form the New Fraction: $\frac{54}{81} \times \frac{7}{8} = \frac{432}{567}$

Let's Simplify $\frac{432}{567}$

• Find the Greatest Common Divisor (GCD) of $432$ and $567$. The GCD of $432$ and $567$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 27}{567 \div 27} = \frac{16}{21}$

Answer $\frac{54}{81}\div\frac{7}{8} = \frac{16}{21}$

The following animation demonstrates the divide-by,