What is 89/26 Divided By 5/2

Solving $\frac{89}{26}\div\frac{5}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{26} \div \frac{5}{2} = \frac{89}{26} \times \frac{2}{5}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $26 \times 5 = 130$
• Form the New Fraction: $\frac{89}{26} \times \frac{5}{2} = \frac{178}{130}$

Let's Simplify $\frac{178}{130}$

• Find the Greatest Common Divisor (GCD) of $178$ and $130$. The GCD of $178$ and $130$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{178 \div 2}{130 \div 2} = \frac{89}{65}$

Answer $\frac{89}{26}\div\frac{5}{2} = \frac{89}{65}$

The following animation demonstrates the divide-by,