154/99 added to 39/2 in Fraction Form

The result of 154/99 added to 39/2 is: 21 1/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15499 and 392.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 2 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15499 to 308198
Convert 392 to 3861198

Step 4: Add the Numerators

Add the numerators: 308 + 3861 = 4169

Step 5: Simplify the Fraction

We can simplify 4169198 to its lowest form.
The greatest common divisor (GCD) of 4169 and 198 is 11.
Dividing both numerator and denominator by the GCD, we get 37918.

Step 6: Convert to Mixed Number

The fraction 37918 can be written as the mixed number 21118.

Final Answer

The result of 154/99 added to 39/2 is:

15499+392=21118

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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