What is 26/89 Divided By 2/7

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,