What is 45/50 Divided By 6/5

Solving $\frac{45}{50}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{50} \div \frac{6}{5} = \frac{45}{50} \times \frac{5}{6}$

• Multiply the Numerators: $45 \times 5 = 225$
• Multiply the Denominators: $50 \times 6 = 300$
• Form the New Fraction: $\frac{45}{50} \times \frac{6}{5} = \frac{225}{300}$

Let's Simplify $\frac{225}{300}$

• Find the Greatest Common Divisor (GCD) of $225$ and $300$. The GCD of $225$ and $300$ is $75$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 75}{300 \div 75} = \frac{3}{4}$

Answer $\frac{45}{50}\div\frac{6}{5} = \frac{3}{4}$

The following animation demonstrates the divide-by,