What is 75/27 Divided By 5/2

Solving $\frac{75}{27}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{27} \div \frac{5}{2} = \frac{75}{27} \times \frac{2}{5}$

• Multiply the Numerators: $75 \times 2 = 150$
• Multiply the Denominators: $27 \times 5 = 135$
• Form the New Fraction: $\frac{75}{27} \times \frac{5}{2} = \frac{150}{135}$

Let's Simplify $\frac{150}{135}$

• Find the Greatest Common Divisor (GCD) of $150$ and $135$. The GCD of $150$ and $135$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{150 \div 15}{135 \div 15} = \frac{10}{9}$

Answer $\frac{75}{27}\div\frac{5}{2} = \frac{10}{9}$

The following animation demonstrates the divide-by,