What is 91/35 Divided By 3/2

Solving $\frac{91}{35}\div\frac{3}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{91}{35} \div \frac{3}{2} = \frac{91}{35} \times \frac{2}{3}$

• Multiply the Numerators: $91 \times 2 = 182$
• Multiply the Denominators: $35 \times 3 = 105$
• Form the New Fraction: $\frac{91}{35} \times \frac{3}{2} = \frac{182}{105}$

Let's Simplify $\frac{182}{105}$

• Find the Greatest Common Divisor (GCD) of $182$ and $105$. The GCD of $182$ and $105$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 7}{105 \div 7} = \frac{26}{15}$

Answer $\frac{91}{35}\div\frac{3}{2} = \frac{26}{15}$

The following animation demonstrates the divide-by,