13/101 added to 117/3 in Fraction Form

The result of 13/101 added to 117/3 is: 39 13/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13101 and 1173.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 3 is 303.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13101 to 39303
Convert 1173 to 11817303

Step 4: Add the Numerators

Add the numerators: 39 + 11817 = 11856

Step 5: Simplify the Fraction

We can simplify 11856303 to its lowest form.
The greatest common divisor (GCD) of 11856 and 303 is 3.
Dividing both numerator and denominator by the GCD, we get 3952101.

Step 6: Convert to Mixed Number

The fraction 3952101 can be written as the mixed number 3913101.

Final Answer

The result of 13/101 added to 117/3 is:

13101+1173=3913101

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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