What is 70/75 Divided By 8/6

Solving $\frac{70}{75}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{75} \div \frac{8}{6} = \frac{70}{75} \times \frac{6}{8}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{70}{75} \times \frac{8}{6} = \frac{420}{600}$

Let's Simplify $\frac{420}{600}$

• Find the Greatest Common Divisor (GCD) of $420$ and $600$. The GCD of $420$ and $600$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 60}{600 \div 60} = \frac{7}{10}$

Answer $\frac{70}{75}\div\frac{8}{6} = \frac{7}{10}$

The following animation demonstrates the divide-by,