What is 74/89 Divided By 2/5

Solving $\frac{74}{89}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{89} \div \frac{2}{5} = \frac{74}{89} \times \frac{5}{2}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{74}{89} \times \frac{2}{5} = \frac{370}{178}$

Let's Simplify $\frac{370}{178}$

• Find the Greatest Common Divisor (GCD) of $370$ and $178$. The GCD of $370$ and $178$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 2}{178 \div 2} = \frac{185}{89}$

Answer $\frac{74}{89}\div\frac{2}{5} = \frac{185}{89}$

The following animation demonstrates the divide-by,