29/153 added to 102/2 in Fraction Form

The result of 29/153 added to 102/2 is: 51 29/153

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 29153 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 153 and 2 is 306.

Step 3: Convert Fractions to Equivalent Fractions

Convert 29153 to 58306
Convert 1022 to 15606306

Step 4: Add the Numerators

Add the numerators: 58 + 15606 = 15664

Step 5: Simplify the Fraction

We can simplify 15664306 to its lowest form.
The greatest common divisor (GCD) of 15664 and 306 is 2.
Dividing both numerator and denominator by the GCD, we get 7832153.

Step 6: Convert to Mixed Number

The fraction 7832153 can be written as the mixed number 5129153.

Final Answer

The result of 29/153 added to 102/2 is:

29153+1022=5129153

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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