127/21 subtracted by 168/2 in Fraction Form

The result of 127/21 subtracted by 168/2 is: -78 1/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{6} 82$ from $\frac{1}{2} 721$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 21 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 721$ to $\frac{254}{4} 2$
Convert $\frac{1}{6} 82$ to $\frac{3528}{4} 2$

Step 4: Subtract the Numerators

Subtract the numerators: 254 - 3528 = -3274

Step 5: Simplify the Fraction

We can simplify $\frac{-}{3} 27442$ to its lowest form.
The greatest common divisor (GCD) of -3274 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{1} 63721$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{1} 63721$ can be written as the mixed number $- 78 \frac{1}{2} 1$ .

Final Answer

The result of 127/21 subtracted by 168/2 is:

\frac{127}{21} - \frac{168}{2} = - 78 \frac{1}{2} 1

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: