127/81 subtracted by 118/3 in Fraction Form

The result of 127/81 subtracted by 118/3 is: -38 19/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{1} 83$ from $\frac{1}{2} 781$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 81 and 3 is 81.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 781$ to $\frac{127}{8} 1$
Convert $\frac{1}{1} 83$ to $\frac{3186}{8} 1$

Step 4: Subtract the Numerators

Subtract the numerators: 127 - 3186 = -3059

Step 5: Convert to Mixed Number

The fraction $\frac{-}{3} 05981$ can be written as the mixed number $- 38 \frac{1}{9} 81$ .

Final Answer

The result of 127/81 subtracted by 118/3 is:

\frac{127}{81} - \frac{118}{3} = - 38 \frac{1}{9} 81

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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