13/127 added to 120/3 in Fraction Form

The result of 13/127 added to 120/3 is: 40 13/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13127 and 1203.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13127 to 39381
Convert 1203 to 15240381

Step 4: Add the Numerators

Add the numerators: 39 + 15240 = 15279

Step 5: Simplify the Fraction

We can simplify 15279381 to its lowest form.
The greatest common divisor (GCD) of 15279 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 5093127.

Step 6: Convert to Mixed Number

The fraction 5093127 can be written as the mixed number 4013127.

Final Answer

The result of 13/127 added to 120/3 is:

13127+1203=4013127

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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