What is 50/27 Divided By 5/2

Solving $\frac{50}{27}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{50}{27} \div \frac{5}{2} = \frac{50}{27} \times \frac{2}{5}$

• Multiply the Numerators: $50 \times 2 = 100$
• Multiply the Denominators: $27 \times 5 = 135$
• Form the New Fraction: $\frac{50}{27} \times \frac{5}{2} = \frac{100}{135}$

Let's Simplify $\frac{100}{135}$

• Find the Greatest Common Divisor (GCD) of $100$ and $135$. The GCD of $100$ and $135$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{100 \div 5}{135 \div 5} = \frac{20}{27}$

Answer $\frac{50}{27}\div\frac{5}{2} = \frac{20}{27}$

The following animation demonstrates the divide-by,