19/118 added to 135/3 in Fraction Form

The result of 19/118 added to 135/3 is: 45 19/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19118 and 1353.

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 19118 to 57354
Convert 1353 to 15930354

Step 4: Add the Numerators

Add the numerators: 57 + 15930 = 15987

Step 5: Simplify the Fraction

We can simplify 15987354 to its lowest form.
The greatest common divisor (GCD) of 15987 and 354 is 3.
Dividing both numerator and denominator by the GCD, we get 5329118.

Step 6: Convert to Mixed Number

The fraction 5329118 can be written as the mixed number 4519118.

Final Answer

The result of 19/118 added to 135/3 is:

19118+1353=4519118

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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