What is 42/85 Divided By 6/7

Solving $\frac{42}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{85} \div \frac{6}{7} = \frac{42}{85} \times \frac{7}{6}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{42}{85} \times \frac{6}{7} = \frac{294}{510}$

Let's Simplify $\frac{294}{510}$

• Find the Greatest Common Divisor (GCD) of $294$ and $510$. The GCD of $294$ and $510$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 6}{510 \div 6} = \frac{49}{85}$

Answer $\frac{42}{85}\div\frac{6}{7} = \frac{49}{85}$

The following animation demonstrates the divide-by,