What is 39/57 Divided By 5/2

Solving $\frac{39}{57}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{57} \div \frac{5}{2} = \frac{39}{57} \times \frac{2}{5}$

• Multiply the Numerators: $39 \times 2 = 78$
• Multiply the Denominators: $57 \times 5 = 285$
• Form the New Fraction: $\frac{39}{57} \times \frac{5}{2} = \frac{78}{285}$

Let's Simplify $\frac{78}{285}$

• Find the Greatest Common Divisor (GCD) of $78$ and $285$. The GCD of $78$ and $285$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 3}{285 \div 3} = \frac{26}{95}$

Answer $\frac{39}{57}\div\frac{5}{2} = \frac{26}{95}$

The following animation demonstrates the divide-by,