201/194 subtracted by 144/2 in Fraction Form

The result of 201/194 subtracted by 144/2 is: -71 7/194

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1442\) from \(\frac201194\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 194 and 2 is 194.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac201194\) to \(\frac{201}194\)
Convert \(\frac1442\) to \(\frac{13968}194\)

Step 4: Subtract the Numerators

Subtract the numerators: 201 - 13968 = -13767

Step 5: Convert to Mixed Number

The fraction \(\frac-13767194\) can be written as the mixed number \(-71\frac7194\).

Final Answer

The result of 201/194 subtracted by 144/2 is:

\[ \frac{201}{194} - \frac{144}{2} = -71\frac7194 \]

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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