What is 45/81 Divided By 1/4

Solving $\frac{45}{81}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{81} \div \frac{1}{4} = \frac{45}{81} \times \frac{4}{1}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{45}{81} \times \frac{1}{4} = \frac{180}{81}$

Let's Simplify $\frac{180}{81}$

• Find the Greatest Common Divisor (GCD) of $180$ and $81$. The GCD of $180$ and $81$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 9}{81 \div 9} = \frac{20}{9}$

Answer $\frac{45}{81}\div\frac{1}{4} = \frac{20}{9}$

The following animation demonstrates the divide-by,