14/39 added to 6/2 in Fraction Form

The result of 14/39 added to 6/2 is: 3 14/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1439 and 62.

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 1439 to 2878
Convert 62 to 23478

Step 4: Add the Numerators

Add the numerators: 28 + 234 = 262

Step 5: Simplify the Fraction

We can simplify 26278 to its lowest form.
The greatest common divisor (GCD) of 262 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 13139.

Step 6: Convert to Mixed Number

The fraction 13139 can be written as the mixed number 31439.

Final Answer

The result of 14/39 added to 6/2 is:

1439+62=31439

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).

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