What is 50/60 Divided By 7/8

Solving $\frac{50}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{60} \div \frac{7}{8} = \frac{50}{60} \times \frac{8}{7}$

• Multiply the Numerators: $50 \times 8 = 400$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{50}{60} \times \frac{7}{8} = \frac{400}{420}$

Let's Simplify $\frac{400}{420}$

• Find the Greatest Common Divisor (GCD) of $400$ and $420$. The GCD of $400$ and $420$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{400 \div 20}{420 \div 20} = \frac{20}{21}$

Answer $\frac{50}{60}\div\frac{7}{8} = \frac{20}{21}$

The following animation demonstrates the divide-by,