73/127 subtracted by 127/3 in Fraction Form

The result of 73/127 subtracted by 127/3 is: -42 92/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{2} 73$ from $\frac{7}{3} 127$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{7}{3} 127$ to $\frac{219}{3} 81$
Convert $\frac{1}{2} 73$ to $\frac{16129}{3} 81$

Step 4: Subtract the Numerators

Subtract the numerators: 219 - 16129 = -15910

Step 5: Convert to Mixed Number

The fraction $\frac{-}{1} 5910381$ can be written as the mixed number $- 42 \frac{9}{2} 381$ .

Final Answer

The result of 73/127 subtracted by 127/3 is:

\frac{73}{127} - \frac{127}{3} = - 42 \frac{9}{2} 381

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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