What is 70/75 Divided By 4/7

Solving $\frac{70}{75}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{4}{7} = \frac{70}{75} \times \frac{7}{4}$

• Multiply the Numerators: $70 \times 7 = 490$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{70}{75} \times \frac{4}{7} = \frac{490}{300}$

Let's Simplify $\frac{490}{300}$

• Find the Greatest Common Divisor (GCD) of $490$ and $300$. The GCD of $490$ and $300$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{490 \div 10}{300 \div 10} = \frac{49}{30}$

Answer $\frac{70}{75}\div\frac{4}{7} = \frac{49}{30}$

The following animation demonstrates the divide-by,