1/185 subtracted by 102/3 in Fraction Form

The result of 1/185 subtracted by 102/3 is: -34 1/185

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{0} 23$ from $\frac{1}{1} 85$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 185 and 3 is 555.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{1} 85$ to $\frac{3}{5} 55$
Convert $\frac{1}{0} 23$ to $\frac{18870}{5} 55$

Step 4: Subtract the Numerators

Subtract the numerators: 3 - 18870 = -18867

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 8867555$ to its lowest form.
The greatest common divisor (GCD) of -18867 and 555 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{6} 289185$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{6} 289185$ can be written as the mixed number $- 34 \frac{1}{1} 85$ .

Final Answer

The result of 1/185 subtracted by 102/3 is:

\frac{1}{185} - \frac{102}{3} = - 34 \frac{1}{1} 85

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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