17/82 subtracted by 127/4 in Fraction Form

The result of 17/82 subtracted by 127/4 is: -32 75/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{2} 74$ from $\frac{1}{7} 82$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{7} 82$ to $\frac{34}{1} 64$
Convert $\frac{1}{2} 74$ to $\frac{5207}{1} 64$

Step 4: Subtract the Numerators

Subtract the numerators: 34 - 5207 = -5173

Step 5: Convert to Mixed Number

The fraction $\frac{-}{5} 173164$ can be written as the mixed number $- 32 \frac{7}{5} 164$ .

Final Answer

The result of 17/82 subtracted by 127/4 is:

\frac{17}{82} - \frac{127}{4} = - 32 \frac{7}{5} 164

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: