127/154 subtracted by 3/3 in Fraction Form

The result of 127/154 subtracted by 3/3 is: -27/154

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{3}{3}$ from $\frac{1}{2} 7154$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 7154$ to $\frac{381}{4} 62$
Convert $\frac{3}{3}$ to $\frac{462}{4} 62$

Step 4: Subtract the Numerators

Subtract the numerators: 381 - 462 = -81

Step 5: Simplify the Fraction

We can simplify $\frac{-}{8} 1462$ to its lowest form.
The greatest common divisor (GCD) of -81 and 462 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{2} 7154$ .

Final Answer

The result of 127/154 subtracted by 3/3 is:

\frac{127}{154} - \frac{3}{3} = \frac{-}{2} 7154

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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