187/279 subtracted by 82/4 in Fraction Form

The result of 187/279 subtracted by 82/4 is: -20 95/558

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac824\) from \(\frac187279\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 279 and 4 is 1116.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac187279\) to \(\frac{748}1116\)
Convert \(\frac824\) to \(\frac{22878}1116\)

Step 4: Subtract the Numerators

Subtract the numerators: 748 - 22878 = -22130

Step 5: Simplify the Fraction

We can simplify \(\frac-221301116\) to its lowest form.
The greatest common divisor (GCD) of -22130 and 1116 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-11065558\).

Step 6: Convert to Mixed Number

The fraction \(\frac-11065558\) can be written as the mixed number \(-20\frac95558\).

Final Answer

The result of 187/279 subtracted by 82/4 is:

\[ \frac{187}{279} - \frac{82}{4} = -20\frac95558 \]

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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