What is 39/52 Divided By 6/4

Solving $\frac{39}{52}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{52} \div \frac{6}{4} = \frac{39}{52} \times \frac{4}{6}$

• Multiply the Numerators: $39 \times 4 = 156$
• Multiply the Denominators: $52 \times 6 = 312$
• Form the New Fraction: $\frac{39}{52} \times \frac{6}{4} = \frac{156}{312}$

Let's Simplify $\frac{156}{312}$

• Find the Greatest Common Divisor (GCD) of $156$ and $312$. The GCD of $156$ and $312$ is $156$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 156}{312 \div 156} = \frac{1}{2}$

Answer $\frac{39}{52}\div\frac{6}{4} = \frac{1}{2}$

The following animation demonstrates the divide-by,