127/229 subtracted by 28/6 in Fraction Form

The result of 127/229 subtracted by 28/6 is: -5 610/687

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac286\) from \(\frac127229\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 229 and 6 is 1374.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac127229\) to \(\frac{762}1374\)
Convert \(\frac286\) to \(\frac{6412}1374\)

Step 4: Subtract the Numerators

Subtract the numerators: 762 - 6412 = -5650

Step 5: Simplify the Fraction

We can simplify \(\frac-56501374\) to its lowest form.
The greatest common divisor (GCD) of -5650 and 1374 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-2825687\).

Step 6: Convert to Mixed Number

The fraction \(\frac-2825687\) can be written as the mixed number \(-5\frac610687\).

Final Answer

The result of 127/229 subtracted by 28/6 is:

\[ \frac{127}{229} - \frac{28}{6} = -5\frac610687 \]

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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