What is 89/26 Divided By 7/2

Solving $\frac{89}{26}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{89}{26} \div \frac{7}{2} = \frac{89}{26} \times \frac{2}{7}$

• Multiply the Numerators: $89 \times 2 = 178$
• Multiply the Denominators: $26 \times 7 = 182$
• Form the New Fraction: $\frac{89}{26} \times \frac{7}{2} = \frac{178}{182}$

Let's Simplify $\frac{178}{182}$

• Find the Greatest Common Divisor (GCD) of $178$ and $182$. The GCD of $178$ and $182$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{178 \div 2}{182 \div 2} = \frac{89}{91}$

Answer $\frac{89}{26}\div\frac{7}{2} = \frac{89}{91}$

The following animation demonstrates the divide-by,