127/127 subtracted by 28/6 in Fraction Form

The result of 127/127 subtracted by 28/6 is: -4 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{2}{8} 6$ from $\frac{1}{2} 7127$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 7127$ to $\frac{762}{7} 62$
Convert $\frac{2}{8} 6$ to $\frac{3556}{7} 62$

Step 4: Subtract the Numerators

Subtract the numerators: 762 - 3556 = -2794

Step 5: Simplify the Fraction

We can simplify $\frac{-}{2} 794762$ to its lowest form.
The greatest common divisor (GCD) of -2794 and 762 is 254.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{1} 13$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{1} 13$ can be written as the mixed number $- 4 \frac{1}{3}$ .

Final Answer

The result of 127/127 subtracted by 28/6 is:

\frac{127}{127} - \frac{28}{6} = - 4 \frac{1}{3}

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: