159/185 subtracted by 84/2 in Fraction Form

The result of 159/185 subtracted by 84/2 is: -42 159/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac842\) from \(\frac159185\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 185 and 2 is 370.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac159185\) to \(\frac{318}370\)
Convert \(\frac842\) to \(\frac{15540}370\)

Step 4: Subtract the Numerators

Subtract the numerators: 318 - 15540 = -15222

Step 5: Simplify the Fraction

We can simplify \(\frac-15222370\) to its lowest form.
The greatest common divisor (GCD) of -15222 and 370 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-7611185\).

Step 6: Convert to Mixed Number

The fraction \(\frac-7611185\) can be written as the mixed number \(-42\frac159185\).

Final Answer

The result of 159/185 subtracted by 84/2 is:

\[ \frac{159}{185} - \frac{84}{2} = -42\frac159185 \]

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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