129/99 added to 41/3 in Fraction Form

The result of 129/99 added to 41/3 is: 14 32/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12999 and 413.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 3 is 99.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12999 to 12999
Convert 413 to 135399

Step 4: Add the Numerators

Add the numerators: 129 + 1353 = 1482

Step 5: Simplify the Fraction

We can simplify 148299 to its lowest form.
The greatest common divisor (GCD) of 1482 and 99 is 3.
Dividing both numerator and denominator by the GCD, we get 49433.

Step 6: Convert to Mixed Number

The fraction 49433 can be written as the mixed number 143233.

Final Answer

The result of 129/99 added to 41/3 is:

12999+413=143233

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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