What is 74/45 Divided By 4/5

Solving $\frac{74}{45}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{45} \div \frac{4}{5} = \frac{74}{45} \times \frac{5}{4}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{74}{45} \times \frac{4}{5} = \frac{370}{180}$

Let's Simplify $\frac{370}{180}$

• Find the Greatest Common Divisor (GCD) of $370$ and $180$. The GCD of $370$ and $180$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 10}{180 \div 10} = \frac{37}{18}$

Answer $\frac{74}{45}\div\frac{4}{5} = \frac{37}{18}$

The following animation demonstrates the divide-by,