What is 72/46 Divided By 2/3

Solving $\frac{72}{46}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{46} \div \frac{2}{3} = \frac{72}{46} \times \frac{3}{2}$

• Multiply the Numerators: $72 \times 3 = 216$
• Multiply the Denominators: $46 \times 2 = 92$
• Form the New Fraction: $\frac{72}{46} \times \frac{2}{3} = \frac{216}{92}$

Let's Simplify $\frac{216}{92}$

• Find the Greatest Common Divisor (GCD) of $216$ and $92$. The GCD of $216$ and $92$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 4}{92 \div 4} = \frac{54}{23}$

Answer $\frac{72}{46}\div\frac{2}{3} = \frac{54}{23}$

The following animation demonstrates the divide-by,