What is 28/52 Divided By 5/7

Solving $\frac{28}{52}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{52} \div \frac{5}{7} = \frac{28}{52} \times \frac{7}{5}$

• Multiply the Numerators: $28 \times 7 = 196$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{28}{52} \times \frac{5}{7} = \frac{196}{260}$

Let's Simplify $\frac{196}{260}$

• Find the Greatest Common Divisor (GCD) of $196$ and $260$. The GCD of $196$ and $260$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{196 \div 4}{260 \div 4} = \frac{49}{65}$

Answer $\frac{28}{52}\div\frac{5}{7} = \frac{49}{65}$

The following animation demonstrates the divide-by,