123/208 subtracted by 11/2 in Fraction Form

The result of 123/208 subtracted by 11/2 is: -5 19/208

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac112\) from \(\frac123208\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 208 and 2 is 208.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac123208\) to \(\frac{123}208\)
Convert \(\frac112\) to \(\frac{1144}208\)

Step 4: Subtract the Numerators

Subtract the numerators: 123 - 1144 = -1021

Step 5: Convert to Mixed Number

The fraction \(\frac-1021208\) can be written as the mixed number \(-5\frac19208\).

Final Answer

The result of 123/208 subtracted by 11/2 is:

\[ \frac{123}{208} - \frac{11}{2} = -5\frac19208 \]

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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