What is 61/18 Divided By 2/3

Solving $\frac{61}{18}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{61}{18} \div \frac{2}{3} = \frac{61}{18} \times \frac{3}{2}$

• Multiply the Numerators: $61 \times 3 = 183$
• Multiply the Denominators: $18 \times 2 = 36$
• Form the New Fraction: $\frac{61}{18} \times \frac{2}{3} = \frac{183}{36}$

Let's Simplify $\frac{183}{36}$

• Find the Greatest Common Divisor (GCD) of $183$ and $36$. The GCD of $183$ and $36$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{183 \div 3}{36 \div 3} = \frac{61}{12}$

Answer $\frac{61}{18}\div\frac{2}{3} = \frac{61}{12}$

The following animation demonstrates the divide-by,