What is 74/89 Divided By 4/5

Solving $\frac{74}{89}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{89} \div \frac{4}{5} = \frac{74}{89} \times \frac{5}{4}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $89 \times 4 = 356$
• Form the New Fraction: $\frac{74}{89} \times \frac{4}{5} = \frac{370}{356}$

Let's Simplify $\frac{370}{356}$

• Find the Greatest Common Divisor (GCD) of $370$ and $356$. The GCD of $370$ and $356$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 2}{356 \div 2} = \frac{185}{178}$

Answer $\frac{74}{89}\div\frac{4}{5} = \frac{185}{178}$

The following animation demonstrates the divide-by,