1/224 divided by 81/3 in Fraction Form

The result of 1/224 divided by 81/3 is: 1/6048

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac1224\) by \(\frac813\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac1224 \div \frac813 = \frac1224 \times \frac381\)

Step 3: Multiply the Fractions

Multiply the numerators: 1 × 3 = 3
Multiply the denominators: 224 × 81 = 18144

Step 4: Simplify the Fraction

We can simplify \(\frac318144\) to its lowest form.
The greatest common divisor (GCD) of 3 and 18144 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac16048\).

Final Answer

The result of 1/224 divided by 81/3 is:

\[ \frac{1}{224} \div \frac{81}{3} = \frac16048 \]

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: