What is 52/38 Divided By 2/3

Solving $\frac{52}{38}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{38} \div \frac{2}{3} = \frac{52}{38} \times \frac{3}{2}$

• Multiply the Numerators: $52 \times 3 = 156$
• Multiply the Denominators: $38 \times 2 = 76$
• Form the New Fraction: $\frac{52}{38} \times \frac{2}{3} = \frac{156}{76}$

Let's Simplify $\frac{156}{76}$

• Find the Greatest Common Divisor (GCD) of $156$ and $76$. The GCD of $156$ and $76$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{156 \div 4}{76 \div 4} = \frac{39}{19}$

Answer $\frac{52}{38}\div\frac{2}{3} = \frac{39}{19}$

The following animation demonstrates the divide-by,