20/102 subtracted by 185/4 in Fraction Form

The result of 20/102 subtracted by 185/4 is: -47 193/204

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{8} 54$ from $\frac{2}{0} 102$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{0} 102$ to $\frac{40}{2} 04$
Convert $\frac{1}{8} 54$ to $\frac{9435}{2} 04$

Step 4: Subtract the Numerators

Subtract the numerators: 40 - 9435 = -9395

Step 5: Convert to Mixed Number

The fraction $\frac{-}{9} 395204$ can be written as the mixed number $- 47 \frac{1}{9} 3204$ .

Final Answer

The result of 20/102 subtracted by 185/4 is:

\frac{20}{102} - \frac{185}{4} = - 47 \frac{1}{9} 3204

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (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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