What is 42/75 Divided By 9/6

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $42 \times 6 = 252$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{42}{75} \times \frac{9}{6} = \frac{252}{675}$

Let's Simplify $\frac{252}{675}$

• Find the Greatest Common Divisor (GCD) of $252$ and $675$. The GCD of $252$ and $675$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 9}{675 \div 9} = \frac{28}{75}$

Answer $\frac{42}{75}\div\frac{9}{6} = \frac{28}{75}$

The following animation demonstrates the divide-by,