81/102 added to 136/4 in Fraction Form

The result of 81/102 added to 136/4 is: 34 27/34

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81102 and 1364.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81102 to 162204
Convert 1364 to 6936204

Step 4: Add the Numerators

Add the numerators: 162 + 6936 = 7098

Step 5: Simplify the Fraction

We can simplify 7098204 to its lowest form.
The greatest common divisor (GCD) of 7098 and 204 is 6.
Dividing both numerator and denominator by the GCD, we get 118334.

Step 6: Convert to Mixed Number

The fraction 118334 can be written as the mixed number 342734.

Final Answer

The result of 81/102 added to 136/4 is:

81102+1364=342734

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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