What is 46/81 Divided By 8/5

Solving $\frac{46}{81}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{81} \div \frac{8}{5} = \frac{46}{81} \times \frac{5}{8}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $81 \times 8 = 648$
• Form the New Fraction: $\frac{46}{81} \times \frac{8}{5} = \frac{230}{648}$

Let's Simplify $\frac{230}{648}$

• Find the Greatest Common Divisor (GCD) of $230$ and $648$. The GCD of $230$ and $648$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{648 \div 2} = \frac{115}{324}$

Answer $\frac{46}{81}\div\frac{8}{5} = \frac{115}{324}$

The following animation demonstrates the divide-by,