What is 42/66 Divided By 5/7

Solving $\frac{42}{66}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{66} \div \frac{5}{7} = \frac{42}{66} \times \frac{7}{5}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $66 \times 5 = 330$
• Form the New Fraction: $\frac{42}{66} \times \frac{5}{7} = \frac{294}{330}$

Let's Simplify $\frac{294}{330}$

• Find the Greatest Common Divisor (GCD) of $294$ and $330$. The GCD of $294$ and $330$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 6}{330 \div 6} = \frac{49}{55}$

Answer $\frac{42}{66}\div\frac{5}{7} = \frac{49}{55}$

The following animation demonstrates the divide-by,