What is 53/52 Divided By 5/2

Solving $\frac{53}{52}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{52} \div \frac{5}{2} = \frac{53}{52} \times \frac{2}{5}$

• Multiply the Numerators: $53 \times 2 = 106$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{53}{52} \times \frac{5}{2} = \frac{106}{260}$

Let's Simplify $\frac{106}{260}$

• Find the Greatest Common Divisor (GCD) of $106$ and $260$. The GCD of $106$ and $260$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{106 \div 2}{260 \div 2} = \frac{53}{130}$

Answer $\frac{53}{52}\div\frac{5}{2} = \frac{53}{130}$

The following animation demonstrates the divide-by,