What is 48/46 Divided By 4/5

Solving $\frac{48}{46}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{46} \div \frac{4}{5} = \frac{48}{46} \times \frac{5}{4}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $46 \times 4 = 184$
• Form the New Fraction: $\frac{48}{46} \times \frac{4}{5} = \frac{240}{184}$

Let's Simplify $\frac{240}{184}$

• Find the Greatest Common Divisor (GCD) of $240$ and $184$. The GCD of $240$ and $184$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 8}{184 \div 8} = \frac{30}{23}$

Answer $\frac{48}{46}\div\frac{4}{5} = \frac{30}{23}$

The following animation demonstrates the divide-by,