What is 42/52 Divided By 5/7

Solving $\frac{42}{52}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{52} \div \frac{5}{7} = \frac{42}{52} \times \frac{7}{5}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{42}{52} \times \frac{5}{7} = \frac{294}{260}$

Let's Simplify $\frac{294}{260}$

• Find the Greatest Common Divisor (GCD) of $294$ and $260$. The GCD of $294$ and $260$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 2}{260 \div 2} = \frac{147}{130}$

Answer $\frac{42}{52}\div\frac{5}{7} = \frac{147}{130}$

The following animation demonstrates the divide-by,