What is 48/76 Divided By 2/3

Solving $\frac{48}{76}\div\frac{2}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{76} \div \frac{2}{3} = \frac{48}{76} \times \frac{3}{2}$

• Multiply the Numerators: $48 \times 3 = 144$
• Multiply the Denominators: $76 \times 2 = 152$
• Form the New Fraction: $\frac{48}{76} \times \frac{2}{3} = \frac{144}{152}$

Let's Simplify $\frac{144}{152}$

• Find the Greatest Common Divisor (GCD) of $144$ and $152$. The GCD of $144$ and $152$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 8}{152 \div 8} = \frac{18}{19}$

Answer $\frac{48}{76}\div\frac{2}{3} = \frac{18}{19}$

The following animation demonstrates the divide-by,