What is 38/11 Divided By 2/3

Solving $\frac{38}{11}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{11} \div \frac{2}{3} = \frac{38}{11} \times \frac{3}{2}$

• Multiply the Numerators: $38 \times 3 = 114$
• Multiply the Denominators: $11 \times 2 = 22$
• Form the New Fraction: $\frac{38}{11} \times \frac{2}{3} = \frac{114}{22}$

Let's Simplify $\frac{114}{22}$

• Find the Greatest Common Divisor (GCD) of $114$ and $22$. The GCD of $114$ and $22$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{114 \div 2}{22 \div 2} = \frac{57}{11}$

Answer $\frac{38}{11}\div\frac{2}{3} = \frac{57}{11}$

The following animation demonstrates the divide-by,