83/102 added to 137/2 in Fraction Form

The result of 83/102 added to 137/2 is: 69 16/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83102 and 1372.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 2 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83102 to 83102
Convert 1372 to 6987102

Step 4: Add the Numerators

Add the numerators: 83 + 6987 = 7070

Step 5: Simplify the Fraction

We can simplify 7070102 to its lowest form.
The greatest common divisor (GCD) of 7070 and 102 is 2.
Dividing both numerator and denominator by the GCD, we get 353551.

Step 6: Convert to Mixed Number

The fraction 353551 can be written as the mixed number 691651.

Final Answer

The result of 83/102 added to 137/2 is:

83102+1372=691651

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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