10/118 added to 166/2 in Fraction Form

The result of 10/118 added to 166/2 is: 83 5/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10118 and 1662.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 2 is 118.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10118 to 10118
Convert 1662 to 9794118

Step 4: Add the Numerators

Add the numerators: 10 + 9794 = 9804

Step 5: Simplify the Fraction

We can simplify 9804118 to its lowest form.
The greatest common divisor (GCD) of 9804 and 118 is 2.
Dividing both numerator and denominator by the GCD, we get 490259.

Step 6: Convert to Mixed Number

The fraction 490259 can be written as the mixed number 83559.

Final Answer

The result of 10/118 added to 166/2 is:

10118+1662=83559

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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