What is 91/35 Divided By 2/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $91 \times 3 = 273$
• Multiply the Denominators: $35 \times 2 = 70$
• Form the New Fraction: $\frac{91}{35} \times \frac{2}{3} = \frac{273}{70}$

Let's Simplify $\frac{273}{70}$

• Find the Greatest Common Divisor (GCD) of $273$ and $70$. The GCD of $273$ and $70$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{273 \div 7}{70 \div 7} = \frac{39}{10}$

Answer $\frac{91}{35}\div\frac{2}{3} = \frac{39}{10}$

The following animation demonstrates the divide-by,