82/263 subtracted by 4/6 in Fraction Form

The result of 82/263 subtracted by 4/6 is: -280/789

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac46\) from \(\frac82263\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 263 and 6 is 1578.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac82263\) to \(\frac{492}1578\)
Convert \(\frac46\) to \(\frac{1052}1578\)

Step 4: Subtract the Numerators

Subtract the numerators: 492 - 1052 = -560

Step 5: Simplify the Fraction

We can simplify \(\frac-5601578\) to its lowest form.
The greatest common divisor (GCD) of -560 and 1578 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-280789\).

Final Answer

The result of 82/263 subtracted by 4/6 is:

\[ \frac{82}{263} - \frac{4}{6} = \frac-280789 \]

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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