What is 38/39 Divided By 2/3

Solving $\frac{38}{39}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{39} \div \frac{2}{3} = \frac{38}{39} \times \frac{3}{2}$

• Multiply the Numerators: $38 \times 3 = 114$
• Multiply the Denominators: $39 \times 2 = 78$
• Form the New Fraction: $\frac{38}{39} \times \frac{2}{3} = \frac{114}{78}$

Let's Simplify $\frac{114}{78}$

• Find the Greatest Common Divisor (GCD) of $114$ and $78$. The GCD of $114$ and $78$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 6}{78 \div 6} = \frac{19}{13}$

Answer $\frac{38}{39}\div\frac{2}{3} = \frac{19}{13}$

The following animation demonstrates the divide-by,