69/13 added to 222/3 in Fraction Form

The result of 69/13 added to 222/3 is: 79 4/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6913 and 2223.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6913 to 20739
Convert 2223 to 288639

Step 4: Add the Numerators

Add the numerators: 207 + 2886 = 3093

Step 5: Simplify the Fraction

We can simplify 309339 to its lowest form.
The greatest common divisor (GCD) of 3093 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 103113.

Step 6: Convert to Mixed Number

The fraction 103113 can be written as the mixed number 79413.

Final Answer

The result of 69/13 added to 222/3 is:

6913+2223=79413

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

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