What is 89/38 Divided By 5/2

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,