What is 48/50 Divided By 4/5

Solving $\frac{48}{50}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{50} \div \frac{4}{5} = \frac{48}{50} \times \frac{5}{4}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $50 \times 4 = 200$
• Form the New Fraction: $\frac{48}{50} \times \frac{4}{5} = \frac{240}{200}$

Let's Simplify $\frac{240}{200}$

• Find the Greatest Common Divisor (GCD) of $240$ and $200$. The GCD of $240$ and $200$ is $40$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 40}{200 \div 40} = \frac{6}{5}$

Answer $\frac{48}{50}\div\frac{4}{5} = \frac{6}{5}$

The following animation demonstrates the divide-by,