What is 42/75 Divided By 6/9

Solving $\frac{42}{75}\div\frac{6}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{6}{9} = \frac{42}{75} \times \frac{9}{6}$

• Multiply the Numerators: $42 \times 9 = 378$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{42}{75} \times \frac{6}{9} = \frac{378}{450}$

Let's Simplify $\frac{378}{450}$

• Find the Greatest Common Divisor (GCD) of $378$ and $450$. The GCD of $378$ and $450$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{378 \div 18}{450 \div 18} = \frac{21}{25}$

Answer $\frac{42}{75}\div\frac{6}{9} = \frac{21}{25}$

The following animation demonstrates the divide-by,