What is 39/45 Divided By 2/3

Solving $\frac{39}{45}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{39}{45} \div \frac{2}{3} = \frac{39}{45} \times \frac{3}{2}$

• Multiply the Numerators: $39 \times 3 = 117$
• Multiply the Denominators: $45 \times 2 = 90$
• Form the New Fraction: $\frac{39}{45} \times \frac{2}{3} = \frac{117}{90}$

Let's Simplify $\frac{117}{90}$

• Find the Greatest Common Divisor (GCD) of $117$ and $90$. The GCD of $117$ and $90$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{117 \div 9}{90 \div 9} = \frac{13}{10}$

Answer $\frac{39}{45}\div\frac{2}{3} = \frac{13}{10}$

The following animation demonstrates the divide-by,