What is 60/85 Divided By 8/7

Solving $\frac{60}{85}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{8}{7} = \frac{60}{85} \times \frac{7}{8}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $85 \times 8 = 680$
• Form the New Fraction: $\frac{60}{85} \times \frac{8}{7} = \frac{420}{680}$

Let's Simplify $\frac{420}{680}$

• Find the Greatest Common Divisor (GCD) of $420$ and $680$. The GCD of $420$ and $680$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 20}{680 \div 20} = \frac{21}{34}$

Answer $\frac{60}{85}\div\frac{8}{7} = \frac{21}{34}$

The following animation demonstrates the divide-by,