23/108 subtracted by 222/2 in Fraction Form

The result of 23/108 subtracted by 222/2 is: -111 23/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2222\) from \(\frac23108\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 108 and 2 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac23108\) to \(\frac{23}108\)
Convert \(\frac2222\) to \(\frac{11988}108\)

Step 4: Subtract the Numerators

Subtract the numerators: 23 - 11988 = -11965

Step 5: Convert to Mixed Number

The fraction \(\frac-11965108\) can be written as the mixed number \(-111\frac23108\).

Final Answer

The result of 23/108 subtracted by 222/2 is:

\[ \frac{23}{108} - \frac{222}{2} = -111\frac23108 \]

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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