What is 39/54 Divided By 2/3

Solving $\frac{39}{54}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{54} \div \frac{2}{3} = \frac{39}{54} \times \frac{3}{2}$

• Multiply the Numerators: $39 \times 3 = 117$
• Multiply the Denominators: $54 \times 2 = 108$
• Form the New Fraction: $\frac{39}{54} \times \frac{2}{3} = \frac{117}{108}$

Let's Simplify $\frac{117}{108}$

• Find the Greatest Common Divisor (GCD) of $117$ and $108$. The GCD of $117$ and $108$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{117 \div 9}{108 \div 9} = \frac{13}{12}$

Answer $\frac{39}{54}\div\frac{2}{3} = \frac{13}{12}$

The following animation demonstrates the divide-by,