19/31 added to 213/6 in Fraction Form

The result of 19/31 added to 213/6 is: 36 7/62

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1931 and 2136.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 31 and 6 is 186.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1931 to 114186
Convert 2136 to 6603186

Step 4: Add the Numerators

Add the numerators: 114 + 6603 = 6717

Step 5: Simplify the Fraction

We can simplify 6717186 to its lowest form.
The greatest common divisor (GCD) of 6717 and 186 is 3.
Dividing both numerator and denominator by the GCD, we get 223962.

Step 6: Convert to Mixed Number

The fraction 223962 can be written as the mixed number 36762.

Final Answer

The result of 19/31 added to 213/6 is:

1931+2136=36762

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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