What is 57/81 Divided By 4/6

Solving $\frac{57}{81}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{81} \div \frac{4}{6} = \frac{57}{81} \times \frac{6}{4}$

• Multiply the Numerators: $57 \times 6 = 342$
• Multiply the Denominators: $81 \times 4 = 324$
• Form the New Fraction: $\frac{57}{81} \times \frac{4}{6} = \frac{342}{324}$

Let's Simplify $\frac{342}{324}$

• Find the Greatest Common Divisor (GCD) of $342$ and $324$. The GCD of $342$ and $324$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 18}{324 \div 18} = \frac{19}{18}$

Answer $\frac{57}{81}\div\frac{4}{6} = \frac{19}{18}$

The following animation demonstrates the divide-by,