What is 70/75 Divided By 4/6

Solving $\frac{70}{75}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{4}{6} = \frac{70}{75} \times \frac{6}{4}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{70}{75} \times \frac{4}{6} = \frac{420}{300}$

Let's Simplify $\frac{420}{300}$

• Find the Greatest Common Divisor (GCD) of $420$ and $300$. The GCD of $420$ and $300$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 60}{300 \div 60} = \frac{7}{5}$

Answer $\frac{70}{75}\div\frac{4}{6} = \frac{7}{5}$

The following animation demonstrates the divide-by,