118/103 added to 82/6 in Fraction Form

The result of 118/103 added to 82/6 is: 14 251/309

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118103 and 826.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 103 and 6 is 618.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118103 to 708618
Convert 826 to 8446618

Step 4: Add the Numerators

Add the numerators: 708 + 8446 = 9154

Step 5: Simplify the Fraction

We can simplify 9154618 to its lowest form.
The greatest common divisor (GCD) of 9154 and 618 is 2.
Dividing both numerator and denominator by the GCD, we get 4577309.

Step 6: Convert to Mixed Number

The fraction 4577309 can be written as the mixed number 14251309.

Final Answer

The result of 118/103 added to 82/6 is:

118103+826=14251309

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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