What is 42/81 Divided By 5/4

Solving $\frac{42}{81}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{81} \div \frac{5}{4} = \frac{42}{81} \times \frac{4}{5}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{42}{81} \times \frac{5}{4} = \frac{168}{405}$

Let's Simplify $\frac{168}{405}$

• Find the Greatest Common Divisor (GCD) of $168$ and $405$. The GCD of $168$ and $405$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 3}{405 \div 3} = \frac{56}{135}$

Answer $\frac{42}{81}\div\frac{5}{4} = \frac{56}{135}$

The following animation demonstrates the divide-by,