12/212 added to 82/3 in Fraction Form

The result of 12/212 added to 82/3 is: 27 62/159

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{2} 212$ and $\frac{8}{2} 3$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 212 and 3 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 212$ to $\frac{36}{6} 36$
Convert $\frac{8}{2} 3$ to $\frac{17384}{6} 36$

Step 4: Add the Numerators

Add the numerators: 36 + 17384 = 17420

Step 5: Simplify the Fraction

We can simplify $\frac{1}{7} 420636$ to its lowest form.
The greatest common divisor (GCD) of 17420 and 636 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{3} 55159$ .

Step 6: Convert to Mixed Number

The fraction $\frac{4}{3} 55159$ can be written as the mixed number $27 \frac{6}{2} 159$ .

Final Answer

The result of 12/212 added to 82/3 is:

\frac{12}{212} + \frac{82}{3} = 27 \frac{6}{2} 159

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add 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: