34/3 added to 34/2 in Fraction Form

The result of 34/3 added to 34/2 is: 28 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 343 and 342.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 3 and 2 is 6.

Step 3: Convert Fractions to Equivalent Fractions

Convert 343 to 686
Convert 342 to 1026

Step 4: Add the Numerators

Add the numerators: 68 + 102 = 170

Step 5: Simplify the Fraction

We can simplify 1706 to its lowest form.
The greatest common divisor (GCD) of 170 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get 853.

Step 6: Convert to Mixed Number

The fraction 853 can be written as the mixed number 2813.

Final Answer

The result of 34/3 added to 34/2 is:

343+342=2813

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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