69/159 added to 75/2 in Fraction Form

The result of 69/159 added to 75/2 is: 37 99/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69159 and 752.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 2 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69159 to 138318
Convert 752 to 11925318

Step 4: Add the Numerators

Add the numerators: 138 + 11925 = 12063

Step 5: Simplify the Fraction

We can simplify 12063318 to its lowest form.
The greatest common divisor (GCD) of 12063 and 318 is 3.
Dividing both numerator and denominator by the GCD, we get 4021106.

Step 6: Convert to Mixed Number

The fraction 4021106 can be written as the mixed number 3799106.

Final Answer

The result of 69/159 added to 75/2 is:

69159+752=3799106

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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