12/217 divided by 127/2 in Fraction Form

The result of 12/217 divided by 127/2 is: 24/27559

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac12217\) by \(\frac1272\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac12217 \div \frac1272 = \frac12217 \times \frac2127\)

Step 3: Multiply the Fractions

Multiply the numerators: 12 × 2 = 24
Multiply the denominators: 217 × 127 = 27559

Final Answer

The result of 12/217 divided by 127/2 is:

\[ \frac{12}{217} \div \frac{127}{2} = \frac2427559 \]

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: