What is 48/66 Divided By 7/5

Solving $\frac{48}{66}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{66} \div \frac{7}{5} = \frac{48}{66} \times \frac{5}{7}$

• Multiply the Numerators: $48 \times 5 = 240$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{48}{66} \times \frac{7}{5} = \frac{240}{462}$

Let's Simplify $\frac{240}{462}$

• Find the Greatest Common Divisor (GCD) of $240$ and $462$. The GCD of $240$ and $462$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 6}{462 \div 6} = \frac{40}{77}$

Answer $\frac{48}{66}\div\frac{7}{5} = \frac{40}{77}$

The following animation demonstrates the divide-by,