What is 70/12 Divided By 5/6

Solving $\frac{70}{12}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{12} \div \frac{5}{6} = \frac{70}{12} \times \frac{6}{5}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $12 \times 5 = 60$
• Form the New Fraction: $\frac{70}{12} \times \frac{5}{6} = \frac{420}{60}$

Let's Simplify $\frac{420}{60}$

• Find the Greatest Common Divisor (GCD) of $420$ and $60$. The GCD of $420$ and $60$ is $60$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 60}{60 \div 60} = \frac{7}{1}$

Answer $\frac{70}{12}\div\frac{5}{6} = \frac{7}{1}$

The following animation demonstrates the divide-by,