127/23 subtracted by 81/6 in Fraction Form

The result of 127/23 subtracted by 81/6 is: -8 1/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{8}{1} 6$ from $\frac{1}{2} 723$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 23 and 6 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 723$ to $\frac{762}{1} 38$
Convert $\frac{8}{1} 6$ to $\frac{1863}{1} 38$

Step 4: Subtract the Numerators

Subtract the numerators: 762 - 1863 = -1101

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 101138$ to its lowest form.
The greatest common divisor (GCD) of -1101 and 138 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{3} 6746$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{3} 6746$ can be written as the mixed number $- 8 \frac{1}{4} 6$ .

Final Answer

The result of 127/23 subtracted by 81/6 is:

\frac{127}{23} - \frac{81}{6} = - 8 \frac{1}{4} 6

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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