What is 91/26 Divided By 7/4

Solving $\frac{91}{26}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{26} \div \frac{7}{4} = \frac{91}{26} \times \frac{4}{7}$

• Multiply the Numerators: $91 \times 4 = 364$
• Multiply the Denominators: $26 \times 7 = 182$
• Form the New Fraction: $\frac{91}{26} \times \frac{7}{4} = \frac{364}{182}$

Let's Simplify $\frac{364}{182}$

• Find the Greatest Common Divisor (GCD) of $364$ and $182$. The GCD of $364$ and $182$ is $182$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 182}{182 \div 182} = \frac{2}{1}$

Answer $\frac{91}{26}\div\frac{7}{4} = \frac{2}{1}$

The following animation demonstrates the divide-by,