102/136 added to 82/6 in Fraction Form

The result of 102/136 added to 82/6 is: 14 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102136 and 826.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 136 and 6 is 408.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102136 to 306408
Convert 826 to 5576408

Step 4: Add the Numerators

Add the numerators: 306 + 5576 = 5882

Step 5: Simplify the Fraction

We can simplify 5882408 to its lowest form.
The greatest common divisor (GCD) of 5882 and 408 is 34.
Dividing both numerator and denominator by the GCD, we get 17312.

Step 6: Convert to Mixed Number

The fraction 17312 can be written as the mixed number 14512.

Final Answer

The result of 102/136 added to 82/6 is:

102136+826=14512

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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