29/6 added to 213/6 in Fraction Form

The result of 29/6 added to 213/6 is: 40 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{9} 6$ and $\frac{2}{1} 36$ .

Step 2: Add the Numerators (Same Denominator)

Since the denominators are the same, we can directly add the numerators: 29 + 213 = 242

Step 3: Simplify the Fraction

We can simplify $\frac{2}{4} 26$ to its lowest form.
The greatest common divisor (GCD) of 242 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{2} 13$ .

Step 4: Convert to Mixed Number

The fraction $\frac{1}{2} 13$ can be written as the mixed number $40 \frac{1}{3}$ .

Final Answer

The result of 29/6 added to 213/6 is:

\frac{29}{6} + \frac{213}{6} = 40 \frac{1}{3}

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).

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