30/331 subtracted by 28/2 in Fraction Form

The result of 30/331 subtracted by 28/2 is: -14 30/331

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac282\) from \(\frac30331\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 331 and 2 is 662.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac30331\) to \(\frac{60}662\)
Convert \(\frac282\) to \(\frac{9268}662\)

Step 4: Subtract the Numerators

Subtract the numerators: 60 - 9268 = -9208

Step 5: Simplify the Fraction

We can simplify \(\frac-9208662\) to its lowest form.
The greatest common divisor (GCD) of -9208 and 662 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-4604331\).

Step 6: Convert to Mixed Number

The fraction \(\frac-4604331\) can be written as the mixed number \(-14\frac30331\).

Final Answer

The result of 30/331 subtracted by 28/2 is:

\[ \frac{30}{331} - \frac{28}{2} = -14\frac30331 \]

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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