69/135 added to 133/2 in Fraction Form

The result of 69/135 added to 133/2 is: 67 1/90

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69135 and 1332.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 2 is 270.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69135 to 138270
Convert 1332 to 17955270

Step 4: Add the Numerators

Add the numerators: 138 + 17955 = 18093

Step 5: Simplify the Fraction

We can simplify 18093270 to its lowest form.
The greatest common divisor (GCD) of 18093 and 270 is 3.
Dividing both numerator and denominator by the GCD, we get 603190.

Step 6: Convert to Mixed Number

The fraction 603190 can be written as the mixed number 67190.

Final Answer

The result of 69/135 added to 133/2 is:

69135+1332=67190

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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