3/131 added to 81/3 in Fraction Form

The result of 3/131 added to 81/3 is: 27 3/131

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3131 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 131 and 3 is 393.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3131 to 9393
Convert 813 to 10611393

Step 4: Add the Numerators

Add the numerators: 9 + 10611 = 10620

Step 5: Simplify the Fraction

We can simplify 10620393 to its lowest form.
The greatest common divisor (GCD) of 10620 and 393 is 3.
Dividing both numerator and denominator by the GCD, we get 3540131.

Step 6: Convert to Mixed Number

The fraction 3540131 can be written as the mixed number 273131.

Final Answer

The result of 3/131 added to 81/3 is:

3131+813=273131

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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