What is 54/60 Divided By 7/8

Solving $\frac{54}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{60} \div \frac{7}{8} = \frac{54}{60} \times \frac{8}{7}$

• Multiply the Numerators: $54 \times 8 = 432$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{54}{60} \times \frac{7}{8} = \frac{432}{420}$

Let's Simplify $\frac{432}{420}$

• Find the Greatest Common Divisor (GCD) of $432$ and $420$. The GCD of $432$ and $420$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 12}{420 \div 12} = \frac{36}{35}$

Answer $\frac{54}{60}\div\frac{7}{8} = \frac{36}{35}$

The following animation demonstrates the divide-by,