39/73 added to 212/2 in Fraction Form

The result of 39/73 added to 212/2 is: 106 39/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{3}{9} 73$ and $\frac{2}{1} 22$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{9} 73$ to $\frac{78}{1} 46$
Convert $\frac{2}{1} 22$ to $\frac{15476}{1} 46$

Step 4: Add the Numerators

Add the numerators: 78 + 15476 = 15554

Step 5: Simplify the Fraction

We can simplify $\frac{1}{5} 554146$ to its lowest form.
The greatest common divisor (GCD) of 15554 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{7}{7} 7773$ .

Step 6: Convert to Mixed Number

The fraction $\frac{7}{7} 7773$ can be written as the mixed number $106 \frac{3}{9} 73$ .

Final Answer

The result of 39/73 added to 212/2 is:

\frac{39}{73} + \frac{212}{2} = 106 \frac{3}{9} 73

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: