What is 11/98 Divided By 1/4

Solving $\frac{11}{98}\div\frac{1}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{98} \div \frac{1}{4} = \frac{11}{98} \times \frac{4}{1}$

• Multiply the Numerators: $11 \times 4 = 44$
• Multiply the Denominators: $98 \times 1 = 98$
• Form the New Fraction: $\frac{11}{98} \times \frac{1}{4} = \frac{44}{98}$

Let's Simplify $\frac{44}{98}$

• Find the Greatest Common Divisor (GCD) of $44$ and $98$. The GCD of $44$ and $98$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{44 \div 2}{98 \div 2} = \frac{22}{49}$

Answer $\frac{11}{98}\div\frac{1}{4} = \frac{22}{49}$

The following animation demonstrates the divide-by,