19/141 added to 118/2 in Fraction Form

The result of 19/141 added to 118/2 is: 59 19/141

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19141 and 1182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 141 and 2 is 282.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19141 to 38282
Convert 1182 to 16638282

Step 4: Add the Numerators

Add the numerators: 38 + 16638 = 16676

Step 5: Simplify the Fraction

We can simplify 16676282 to its lowest form.
The greatest common divisor (GCD) of 16676 and 282 is 2.
Dividing both numerator and denominator by the GCD, we get 8338141.

Step 6: Convert to Mixed Number

The fraction 8338141 can be written as the mixed number 5919141.

Final Answer

The result of 19/141 added to 118/2 is:

19141+1182=5919141

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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