What is 38/89 Divided By 2/5

Solving $\frac{38}{89}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{89} \div \frac{2}{5} = \frac{38}{89} \times \frac{5}{2}$

• Multiply the Numerators: $38 \times 5 = 190$
• Multiply the Denominators: $89 \times 2 = 178$
• Form the New Fraction: $\frac{38}{89} \times \frac{2}{5} = \frac{190}{178}$

Let's Simplify $\frac{190}{178}$

• Find the Greatest Common Divisor (GCD) of $190$ and $178$. The GCD of $190$ and $178$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{190 \div 2}{178 \div 2} = \frac{95}{89}$

Answer $\frac{38}{89}\div\frac{2}{5} = \frac{95}{89}$

The following animation demonstrates the divide-by,