36/213 added to 12/3 in Fraction Form

The result of 36/213 added to 12/3 is: 4 12/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 36213 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 36213 to 36213
Convert 123 to 852213

Step 4: Add the Numerators

Add the numerators: 36 + 852 = 888

Step 5: Simplify the Fraction

We can simplify 888213 to its lowest form.
The greatest common divisor (GCD) of 888 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 29671.

Step 6: Convert to Mixed Number

The fraction 29671 can be written as the mixed number 41271.

Final Answer

The result of 36/213 added to 12/3 is:

36213+123=41271

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).

Fraction Calculator

Calculate operations between any two fractions: