What is 42/70 Divided By 9/4

Solving $\frac{42}{70}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{70} \div \frac{9}{4} = \frac{42}{70} \times \frac{4}{9}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $70 \times 9 = 630$
• Form the New Fraction: $\frac{42}{70} \times \frac{9}{4} = \frac{168}{630}$

Let's Simplify $\frac{168}{630}$

• Find the Greatest Common Divisor (GCD) of $168$ and $630$. The GCD of $168$ and $630$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 42}{630 \div 42} = \frac{4}{15}$

Answer $\frac{42}{70}\div\frac{9}{4} = \frac{4}{15}$

The following animation demonstrates the divide-by,