What is 48/53 Divided By 8/5

Solving $\frac{48}{53}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{53} \div \frac{8}{5} = \frac{48}{53} \times \frac{5}{8}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $53 \times 8 = 424$
• Form the New Fraction: $\frac{48}{53} \times \frac{8}{5} = \frac{240}{424}$

Let's Simplify $\frac{240}{424}$

• Find the Greatest Common Divisor (GCD) of $240$ and $424$. The GCD of $240$ and $424$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 8}{424 \div 8} = \frac{30}{53}$

Answer $\frac{48}{53}\div\frac{8}{5} = \frac{30}{53}$

The following animation demonstrates the divide-by,