What is 57/81 Divided By 8/3

Solving $\frac{57}{81}\div\frac{8}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{81} \div \frac{8}{3} = \frac{57}{81} \times \frac{3}{8}$

• Multiply the Numerators: $57 \times 3 = 171$
• Multiply the Denominators: $81 \times 8 = 648$
• Form the New Fraction: $\frac{57}{81} \times \frac{8}{3} = \frac{171}{648}$

Let's Simplify $\frac{171}{648}$

• Find the Greatest Common Divisor (GCD) of $171$ and $648$. The GCD of $171$ and $648$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{171 \div 9}{648 \div 9} = \frac{19}{72}$

Answer $\frac{57}{81}\div\frac{8}{3} = \frac{19}{72}$

The following animation demonstrates the divide-by,