What is 60/95 Divided By 8/7

Solving $\frac{60}{95}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{95} \div \frac{8}{7} = \frac{60}{95} \times \frac{7}{8}$

• Multiply the Numerators: $60 \times 7 = 420$
• Multiply the Denominators: $95 \times 8 = 760$
• Form the New Fraction: $\frac{60}{95} \times \frac{8}{7} = \frac{420}{760}$

Let's Simplify $\frac{420}{760}$

• Find the Greatest Common Divisor (GCD) of $420$ and $760$. The GCD of $420$ and $760$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 20}{760 \div 20} = \frac{21}{38}$

Answer $\frac{60}{95}\div\frac{8}{7} = \frac{21}{38}$

The following animation demonstrates the divide-by,