12/118 added to 181/3 in Fraction Form

The result of 12/118 added to 181/3 is: 60 77/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12118 and 1813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12118 to 36354
Convert 1813 to 21358354

Step 4: Add the Numerators

Add the numerators: 36 + 21358 = 21394

Step 5: Simplify the Fraction

We can simplify 21394354 to its lowest form.
The greatest common divisor (GCD) of 21394 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 10697177.

Step 6: Convert to Mixed Number

The fraction 10697177 can be written as the mixed number 6077177.

Final Answer

The result of 12/118 added to 181/3 is:

12118+1813=6077177

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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