What is 48/83 Divided By 8/3

Solving $\frac{48}{83}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{83} \div \frac{8}{3} = \frac{48}{83} \times \frac{3}{8}$

• Multiply the Numerators: $48 \times 3 = 144$
• Multiply the Denominators: $83 \times 8 = 664$
• Form the New Fraction: $\frac{48}{83} \times \frac{8}{3} = \frac{144}{664}$

Let's Simplify $\frac{144}{664}$

• Find the Greatest Common Divisor (GCD) of $144$ and $664$. The GCD of $144$ and $664$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 8}{664 \div 8} = \frac{18}{83}$

Answer $\frac{48}{83}\div\frac{8}{3} = \frac{18}{83}$

The following animation demonstrates the divide-by,