What is 53/60 Divided By 7/8

Solving $\frac{53}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{60} \div \frac{7}{8} = \frac{53}{60} \times \frac{8}{7}$

• Multiply the Numerators: $53 \times 8 = 424$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{53}{60} \times \frac{7}{8} = \frac{424}{420}$

Let's Simplify $\frac{424}{420}$

• Find the Greatest Common Divisor (GCD) of $424$ and $420$. The GCD of $424$ and $420$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{424 \div 4}{420 \div 4} = \frac{106}{105}$

Answer $\frac{53}{60}\div\frac{7}{8} = \frac{106}{105}$

The following animation demonstrates the divide-by,