28/109 added to 154/2 in Fraction Form

The result of 28/109 added to 154/2 is: 77 28/109

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 28109 and 1542.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 2 is 218.

Step 3: Convert Fractions to Equivalent Fractions

Convert 28109 to 56218
Convert 1542 to 16786218

Step 4: Add the Numerators

Add the numerators: 56 + 16786 = 16842

Step 5: Simplify the Fraction

We can simplify 16842218 to its lowest form.
The greatest common divisor (GCD) of 16842 and 218 is 2.
Dividing both numerator and denominator by the GCD, we get 8421109.

Step 6: Convert to Mixed Number

The fraction 8421109 can be written as the mixed number 7728109.

Final Answer

The result of 28/109 added to 154/2 is:

28109+1542=7728109

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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