What is 46/18 Divided By 2/3

Solving $\frac{46}{18}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{18} \div \frac{2}{3} = \frac{46}{18} \times \frac{3}{2}$

• Multiply the Numerators: $46 \times 3 = 138$
• Multiply the Denominators: $18 \times 2 = 36$
• Form the New Fraction: $\frac{46}{18} \times \frac{2}{3} = \frac{138}{36}$

Let's Simplify $\frac{138}{36}$

• Find the Greatest Common Divisor (GCD) of $138$ and $36$. The GCD of $138$ and $36$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{138 \div 6}{36 \div 6} = \frac{23}{6}$

Answer $\frac{46}{18}\div\frac{2}{3} = \frac{23}{6}$

The following animation demonstrates the divide-by,