129/7 added to 136/2 in Fraction Form

The result of 129/7 added to 136/2 is: 86 3/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1297 and 1362.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1297 to 25814
Convert 1362 to 95214

Step 4: Add the Numerators

Add the numerators: 258 + 952 = 1210

Step 5: Simplify the Fraction

We can simplify 121014 to its lowest form.
The greatest common divisor (GCD) of 1210 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 6057.

Step 6: Convert to Mixed Number

The fraction 6057 can be written as the mixed number 8637.

Final Answer

The result of 129/7 added to 136/2 is:

1297+1362=8637

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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