129/69 added to 81/2 in Fraction Form

The result of 129/69 added to 81/2 is: 42 17/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12969 and 812.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 2 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12969 to 258138
Convert 812 to 5589138

Step 4: Add the Numerators

Add the numerators: 258 + 5589 = 5847

Step 5: Simplify the Fraction

We can simplify 5847138 to its lowest form.
The greatest common divisor (GCD) of 5847 and 138 is 3.
Dividing both numerator and denominator by the GCD, we get 194946.

Step 6: Convert to Mixed Number

The fraction 194946 can be written as the mixed number 421746.

Final Answer

The result of 129/69 added to 81/2 is:

12969+812=421746

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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