12/213 subtracted by 102/4 in Fraction Form

The result of 12/213 subtracted by 102/4 is: -26 79/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{0} 24$ from $\frac{1}{2} 213$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 213$ to $\frac{48}{8} 52$
Convert $\frac{1}{0} 24$ to $\frac{21726}{8} 52$

Step 4: Subtract the Numerators

Subtract the numerators: 48 - 21726 = -21678

Step 5: Simplify the Fraction

We can simplify $\frac{-}{2} 1678852$ to its lowest form.
The greatest common divisor (GCD) of -21678 and 852 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{3} 613142$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{3} 613142$ can be written as the mixed number $- 26 \frac{7}{9} 142$ .

Final Answer

The result of 12/213 subtracted by 102/4 is:

\frac{12}{213} - \frac{102}{4} = - 26 \frac{7}{9} 142

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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