16/127 subtracted by 1/2 in Fraction Form

The result of 16/127 subtracted by 1/2 is: -95/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac12\) from \(\frac16127\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 2 is 254.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac16127\) to \(\frac{32}254\)
Convert \(\frac12\) to \(\frac{127}254\)

Step 4: Subtract the Numerators

Subtract the numerators: 32 - 127 = -95

Final Answer

The result of 16/127 subtracted by 1/2 is:

\[ \frac{16}{127} - \frac{1}{2} = \frac-95254 \]

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (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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