What is 53/50 Divided By 5/2

Solving $\frac{53}{50}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{53}{50} \div \frac{5}{2} = \frac{53}{50} \times \frac{2}{5}$

• Multiply the Numerators: $53 \times 2 = 106$
• Multiply the Denominators: $50 \times 5 = 250$
• Form the New Fraction: $\frac{53}{50} \times \frac{5}{2} = \frac{106}{250}$

Let's Simplify $\frac{106}{250}$

• Find the Greatest Common Divisor (GCD) of $106$ and $250$. The GCD of $106$ and $250$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{106 \div 2}{250 \div 2} = \frac{53}{125}$

Answer $\frac{53}{50}\div\frac{5}{2} = \frac{53}{125}$

The following animation demonstrates the divide-by,