17/127 subtracted by 102/3 in Fraction Form

The result of 17/127 subtracted by 102/3 is: -34 17/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{0} 23$ from $\frac{1}{7} 127$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{7} 127$ to $\frac{51}{3} 81$
Convert $\frac{1}{0} 23$ to $\frac{12954}{3} 81$

Step 4: Subtract the Numerators

Subtract the numerators: 51 - 12954 = -12903

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 2903381$ to its lowest form.
The greatest common divisor (GCD) of -12903 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{4} 301127$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{4} 301127$ can be written as the mixed number $- 34 \frac{1}{7} 127$ .

Final Answer

The result of 17/127 subtracted by 102/3 is:

\frac{17}{127} - \frac{102}{3} = - 34 \frac{1}{7} 127

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).

Fraction Calculator

Calculate operations between any two fractions: