What is 38/52 Divided By 5/7

Solving $\frac{38}{52}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{52} \div \frac{5}{7} = \frac{38}{52} \times \frac{7}{5}$

• Multiply the Numerators: $38 \times 7 = 266$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{38}{52} \times \frac{5}{7} = \frac{266}{260}$

Let's Simplify $\frac{266}{260}$

• Find the Greatest Common Divisor (GCD) of $266$ and $260$. The GCD of $266$ and $260$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{266 \div 2}{260 \div 2} = \frac{133}{130}$

Answer $\frac{38}{52}\div\frac{5}{7} = \frac{133}{130}$

The following animation demonstrates the divide-by,