20/238 added to 12/3 in Fraction Form

The result of 20/238 added to 12/3 is: 4 10/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20238 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 238 and 3 is 714.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20238 to 60714
Convert 123 to 2856714

Step 4: Add the Numerators

Add the numerators: 60 + 2856 = 2916

Step 5: Simplify the Fraction

We can simplify 2916714 to its lowest form.
The greatest common divisor (GCD) of 2916 and 714 is 6.
Dividing both numerator and denominator by the GCD, we get 486119.

Step 6: Convert to Mixed Number

The fraction 486119 can be written as the mixed number 410119.

Final Answer

The result of 20/238 added to 12/3 is:

20238+123=410119

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

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