What is 70/42 Divided By 2/5

Solving $\frac{70}{42}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{42} \div \frac{2}{5} = \frac{70}{42} \times \frac{5}{2}$

• Multiply the Numerators: $70 \times 5 = 350$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{70}{42} \times \frac{2}{5} = \frac{350}{84}$

Let's Simplify $\frac{350}{84}$

• Find the Greatest Common Divisor (GCD) of $350$ and $84$. The GCD of $350$ and $84$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{350 \div 14}{84 \div 14} = \frac{25}{6}$

Answer $\frac{70}{42}\div\frac{2}{5} = \frac{25}{6}$

The following animation demonstrates the divide-by,