268/27 divided by 1/4 in Fraction Form

The result of 268/27 divided by 1/4 is: 39 19/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac26827\) by \(\frac14\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac26827 \div \frac14 = \frac26827 \times \frac41\)

Step 3: Multiply the Fractions

Multiply the numerators: 268 × 4 = 1072
Multiply the denominators: 27 × 1 = 27

Step 4: Convert to Mixed Number

The fraction \(\frac107227\) can be written as the mixed number \(39\frac1927\).

Final Answer

The result of 268/27 divided by 1/4 is:

\[ \frac{268}{27} \div \frac{1}{4} = 39\frac1927 \]

Understanding Fraction Division

How to Divide Fractions

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

\( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)

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).

Fraction Calculator

Calculate operations between any two fractions: