19/21 subtracted by 12/2 in Fraction Form

The result of 19/21 subtracted by 12/2 is: -6 19/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{2} 2$ from $\frac{1}{9} 21$ .

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 $\frac{1}{9} 21$ to $\frac{38}{4} 2$
Convert $\frac{1}{2} 2$ to $\frac{252}{4} 2$

Step 4: Subtract the Numerators

Subtract the numerators: 38 - 252 = -214

Step 5: Simplify the Fraction

We can simplify $\frac{-}{2} 1442$ to its lowest form.
The greatest common divisor (GCD) of -214 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{1} 0721$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{1} 0721$ can be written as the mixed number $- 6 \frac{1}{9} 21$ .

Final Answer

The result of 19/21 subtracted by 12/2 is:

\frac{19}{21} - \frac{12}{2} = - 6 \frac{1}{9} 21

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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