What is 89/76 Divided By 5/2

Solving $\frac{89}{76}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{76} \div \frac{5}{2} = \frac{89}{76} \times \frac{2}{5}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{89}{76} \times \frac{5}{2} = \frac{178}{380}$

Let's Simplify $\frac{178}{380}$

• Find the Greatest Common Divisor (GCD) of $178$ and $380$. The GCD of $178$ and $380$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{178 \div 2}{380 \div 2} = \frac{89}{190}$

Answer $\frac{89}{76}\div\frac{5}{2} = \frac{89}{190}$

The following animation demonstrates the divide-by,