20/149 added to 118/4 in Fraction Form

The result of 20/149 added to 118/4 is: 29 189/298

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20149 and 1184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20149 to 80596
Convert 1184 to 17582596

Step 4: Add the Numerators

Add the numerators: 80 + 17582 = 17662

Step 5: Simplify the Fraction

We can simplify 17662596 to its lowest form.
The greatest common divisor (GCD) of 17662 and 596 is 2.
Dividing both numerator and denominator by the GCD, we get 8831298.

Step 6: Convert to Mixed Number

The fraction 8831298 can be written as the mixed number 29189298.

Final Answer

The result of 20/149 added to 118/4 is:

20149+1184=29189298

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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