38/11 divided by 1/4 in Fraction Form

The result of 38/11 divided by 1/4 is: 13 9/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction $\frac{3}{8} 11$ by $\frac{1}{4}$ .

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
$\frac{3}{8} 11 \div \frac{1}{4} = \frac{3}{8} 11 \times \frac{4}{1}$

Step 3: Multiply the Fractions

Multiply the numerators: 38 × 4 = 152
Multiply the denominators: 11 × 1 = 11

Step 4: Convert to Mixed Number

The fraction $\frac{1}{5} 211$ can be written as the mixed number $13 \frac{9}{1} 1$ .

Final Answer

The result of 38/11 divided by 1/4 is:

\frac{38}{11} \div \frac{1}{4} = 13 \frac{9}{1} 1

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a d}{b c}$

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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