What is 53/74 Divided By 5/2

Solving $\frac{53}{74}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{74} \div \frac{5}{2} = \frac{53}{74} \times \frac{2}{5}$

• Multiply the Numerators: $53 \times 2 = 106$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{53}{74} \times \frac{5}{2} = \frac{106}{370}$

Let's Simplify $\frac{106}{370}$

• Find the Greatest Common Divisor (GCD) of $106$ and $370$. The GCD of $106$ and $370$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{106 \div 2}{370 \div 2} = \frac{53}{185}$

Answer $\frac{53}{74}\div\frac{5}{2} = \frac{53}{185}$

The following animation demonstrates the divide-by,