What is 42/75 Divided By 6/7

Solving $\frac{42}{75}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{75} \div \frac{6}{7} = \frac{42}{75} \times \frac{7}{6}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $75 \times 6 = 450$
• Form the New Fraction: $\frac{42}{75} \times \frac{6}{7} = \frac{294}{450}$

Let's Simplify $\frac{294}{450}$

• Find the Greatest Common Divisor (GCD) of $294$ and $450$. The GCD of $294$ and $450$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 6}{450 \div 6} = \frac{49}{75}$

Answer $\frac{42}{75}\div\frac{6}{7} = \frac{49}{75}$

The following animation demonstrates the divide-by,