What is 39/52 Divided By 7/4

Solving $\frac{39}{52}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{7}{4} = \frac{39}{52} \times \frac{4}{7}$

• Multiply the Numerators: $39 \times 4 = 156$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{39}{52} \times \frac{7}{4} = \frac{156}{364}$

Let's Simplify $\frac{156}{364}$

• Find the Greatest Common Divisor (GCD) of $156$ and $364$. The GCD of $156$ and $364$ is $52$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 52}{364 \div 52} = \frac{3}{7}$

Answer $\frac{39}{52}\div\frac{7}{4} = \frac{3}{7}$

The following animation demonstrates the divide-by,