What is 45/46 Divided By 1/4

Solving $\frac{45}{46}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{46} \div \frac{1}{4} = \frac{45}{46} \times \frac{4}{1}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $46 \times 1 = 46$
• Form the New Fraction: $\frac{45}{46} \times \frac{1}{4} = \frac{180}{46}$

Let's Simplify $\frac{180}{46}$

• Find the Greatest Common Divisor (GCD) of $180$ and $46$. The GCD of $180$ and $46$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 2}{46 \div 2} = \frac{90}{23}$

Answer $\frac{45}{46}\div\frac{1}{4} = \frac{90}{23}$

The following animation demonstrates the divide-by,