213/4 added to 33/2 in Fraction Form

The result of 213/4 added to 33/2 is: 69 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 34$ and $\frac{3}{3} 2$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 4 and 2 is 4.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 34$ to $\frac{213}{4}$
Convert $\frac{3}{3} 2$ to $\frac{66}{4}$

Step 4: Add the Numerators

Add the numerators: 213 + 66 = 279

Step 5: Convert to Mixed Number

The fraction $\frac{2}{7} 94$ can be written as the mixed number $69 \frac{3}{4}$ .

Final Answer

The result of 213/4 added to 33/2 is:

\frac{213}{4} + \frac{33}{2} = 69 \frac{3}{4}

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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