What is 42/85 Divided By 7/3

Solving $\frac{42}{85}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{85} \div \frac{7}{3} = \frac{42}{85} \times \frac{3}{7}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{42}{85} \times \frac{7}{3} = \frac{126}{595}$

Let's Simplify $\frac{126}{595}$

• Find the Greatest Common Divisor (GCD) of $126$ and $595$. The GCD of $126$ and $595$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 7}{595 \div 7} = \frac{18}{85}$

Answer $\frac{42}{85}\div\frac{7}{3} = \frac{18}{85}$

The following animation demonstrates the divide-by,