What is 45/17 Divided By 5/4

Solving $\frac{45}{17}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{17} \div \frac{5}{4} = \frac{45}{17} \times \frac{4}{5}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $17 \times 5 = 85$
• Form the New Fraction: $\frac{45}{17} \times \frac{5}{4} = \frac{180}{85}$

Let's Simplify $\frac{180}{85}$

• Find the Greatest Common Divisor (GCD) of $180$ and $85$. The GCD of $180$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 5}{85 \div 5} = \frac{36}{17}$

Answer $\frac{45}{17}\div\frac{5}{4} = \frac{36}{17}$

The following animation demonstrates the divide-by,