24/127 subtracted by 82/2 in Fraction Form

The result of 24/127 subtracted by 82/2 is: -41 24/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{8}{2} 2$ from $\frac{2}{4} 127$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{4} 127$ to $\frac{48}{2} 54$
Convert $\frac{8}{2} 2$ to $\frac{10414}{2} 54$

Step 4: Subtract the Numerators

Subtract the numerators: 48 - 10414 = -10366

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 0366254$ to its lowest form.
The greatest common divisor (GCD) of -10366 and 254 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{5} 183127$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{5} 183127$ can be written as the mixed number $- 41 \frac{2}{4} 127$ .

Final Answer

The result of 24/127 subtracted by 82/2 is:

\frac{24}{127} - \frac{82}{2} = - 41 \frac{2}{4} 127

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (when denominators are different)

Or simply $\frac{a}{b} - \frac{c}{b} = \frac{a - c}{b}$ (when denominators are the same)

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: