22/266 subtracted by 203/3 in Fraction Form

The result of 22/266 subtracted by 203/3 is: -68 166/399

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2033\) from \(\frac22266\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 266 and 3 is 798.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac22266\) to \(\frac{66}798\)
Convert \(\frac2033\) to \(\frac{53998}798\)

Step 4: Subtract the Numerators

Subtract the numerators: 66 - 53998 = -53932

Step 5: Simplify the Fraction

We can simplify \(\frac-53932798\) to its lowest form.
The greatest common divisor (GCD) of -53932 and 798 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-26966399\).

Step 6: Convert to Mixed Number

The fraction \(\frac-26966399\) can be written as the mixed number \(-68\frac166399\).

Final Answer

The result of 22/266 subtracted by 203/3 is:

\[ \frac{22}{266} - \frac{203}{3} = -68\frac166399 \]

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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