What is 70/42 Divided By 4/6

Solving $\frac{70}{42}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{42} \div \frac{4}{6} = \frac{70}{42} \times \frac{6}{4}$

• Multiply the Numerators: $70 \times 6 = 420$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{70}{42} \times \frac{4}{6} = \frac{420}{168}$

Let's Simplify $\frac{420}{168}$

• Find the Greatest Common Divisor (GCD) of $420$ and $168$. The GCD of $420$ and $168$ is $84$.
• Divide both the numerator and the denominator by the GCD:$\frac{420 \div 84}{168 \div 84} = \frac{5}{2}$

Answer $\frac{70}{42}\div\frac{4}{6} = \frac{5}{2}$

The following animation demonstrates the divide-by,