What is 91/26 Divided By 9/4

Solving $\frac{91}{26}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{26} \div \frac{9}{4} = \frac{91}{26} \times \frac{4}{9}$

• Multiply the Numerators: $91 \times 4 = 364$
• Multiply the Denominators: $26 \times 9 = 234$
• Form the New Fraction: $\frac{91}{26} \times \frac{9}{4} = \frac{364}{234}$

Let's Simplify $\frac{364}{234}$

• Find the Greatest Common Divisor (GCD) of $364$ and $234$. The GCD of $364$ and $234$ is $26$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 26}{234 \div 26} = \frac{14}{9}$

Answer $\frac{91}{26}\div\frac{9}{4} = \frac{14}{9}$

The following animation demonstrates the divide-by,