127/59 subtracted by 102/2 in Fraction Form

The result of 127/59 subtracted by 102/2 is: -49 9/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{0} 22$ from $\frac{1}{2} 759$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 59 and 2 is 118.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 759$ to $\frac{254}{1} 18$
Convert $\frac{1}{0} 22$ to $\frac{6018}{1} 18$

Step 4: Subtract the Numerators

Subtract the numerators: 254 - 6018 = -5764

Step 5: Simplify the Fraction

We can simplify $\frac{-}{5} 764118$ to its lowest form.
The greatest common divisor (GCD) of -5764 and 118 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{2} 88259$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{2} 88259$ can be written as the mixed number $- 49 \frac{9}{5} 9$ .

Final Answer

The result of 127/59 subtracted by 102/2 is:

\frac{127}{59} - \frac{102}{2} = - 49 \frac{9}{5} 9

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).

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