224/88 subtracted by 213/3 in Fraction Form

The result of 224/88 subtracted by 213/3 is: -69 6/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2133\) from \(\frac22488\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 88 and 3 is 264.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac22488\) to \(\frac{672}264\)
Convert \(\frac2133\) to \(\frac{18744}264\)

Step 4: Subtract the Numerators

Subtract the numerators: 672 - 18744 = -18072

Step 5: Simplify the Fraction

We can simplify \(\frac-18072264\) to its lowest form.
The greatest common divisor (GCD) of -18072 and 264 is 24.
Dividing both numerator and denominator by the GCD, we get \(\frac-75311\).

Step 6: Convert to Mixed Number

The fraction \(\frac-75311\) can be written as the mixed number \(-69\frac611\).

Final Answer

The result of 224/88 subtracted by 213/3 is:

\[ \frac{224}{88} - \frac{213}{3} = -69\frac611 \]

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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