What is 42/70 Divided By 9/5

Solving $\frac{42}{70}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{70} \div \frac{9}{5} = \frac{42}{70} \times \frac{5}{9}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $70 \times 9 = 630$
• Form the New Fraction: $\frac{42}{70} \times \frac{9}{5} = \frac{210}{630}$

Let's Simplify $\frac{210}{630}$

• Find the Greatest Common Divisor (GCD) of $210$ and $630$. The GCD of $210$ and $630$ is $210$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 210}{630 \div 210} = \frac{1}{3}$

Answer $\frac{42}{70}\div\frac{9}{5} = \frac{1}{3}$

The following animation demonstrates the divide-by,