What is 39/46 Divided By 5/2

Solving $\frac{39}{46}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{46} \div \frac{5}{2} = \frac{39}{46} \times \frac{2}{5}$

• Multiply the Numerators: $39 \times 2 = 78$
• Multiply the Denominators: $46 \times 5 = 230$
• Form the New Fraction: $\frac{39}{46} \times \frac{5}{2} = \frac{78}{230}$

Let's Simplify $\frac{78}{230}$

• Find the Greatest Common Divisor (GCD) of $78$ and $230$. The GCD of $78$ and $230$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{78 \div 2}{230 \div 2} = \frac{39}{115}$

Answer $\frac{39}{46}\div\frac{5}{2} = \frac{39}{115}$

The following animation demonstrates the divide-by,