What is 70/75 Divided By 8/7

Solving $\frac{70}{75}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{8}{7} = \frac{70}{75} \times \frac{7}{8}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{70}{75} \times \frac{8}{7} = \frac{490}{600}$

Let's Simplify $\frac{490}{600}$

• Find the Greatest Common Divisor (GCD) of $490$ and $600$. The GCD of $490$ and $600$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 10}{600 \div 10} = \frac{49}{60}$

Answer $\frac{70}{75}\div\frac{8}{7} = \frac{49}{60}$

The following animation demonstrates the divide-by,