213/39 added to 48/2 in Fraction Form

The result of 213/39 added to 48/2 is: 29 6/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21339 and 482.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 2 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21339 to 42678
Convert 482 to 187278

Step 4: Add the Numerators

Add the numerators: 426 + 1872 = 2298

Step 5: Simplify the Fraction

We can simplify 229878 to its lowest form.
The greatest common divisor (GCD) of 2298 and 78 is 6.
Dividing both numerator and denominator by the GCD, we get 38313.

Step 6: Convert to Mixed Number

The fraction 38313 can be written as the mixed number 29613.

Final Answer

The result of 213/39 added to 48/2 is:

21339+482=29613

Understanding Fraction Addition

How to Add Fractions

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

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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: