What is 42/70 Divided By 8/3

Solving $\frac{42}{70}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{70} \div \frac{8}{3} = \frac{42}{70} \times \frac{3}{8}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $70 \times 8 = 560$
• Form the New Fraction: $\frac{42}{70} \times \frac{8}{3} = \frac{126}{560}$

Let's Simplify $\frac{126}{560}$

• Find the Greatest Common Divisor (GCD) of $126$ and $560$. The GCD of $126$ and $560$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 14}{560 \div 14} = \frac{9}{40}$

Answer $\frac{42}{70}\div\frac{8}{3} = \frac{9}{40}$

The following animation demonstrates the divide-by,