199/13 added to 42/2 in Fraction Form

The result of 199/13 added to 42/2 is: 36 4/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19913 and 422.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 2 is 26.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19913 to 39826
Convert 422 to 54626

Step 4: Add the Numerators

Add the numerators: 398 + 546 = 944

Step 5: Simplify the Fraction

We can simplify 94426 to its lowest form.
The greatest common divisor (GCD) of 944 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get 47213.

Step 6: Convert to Mixed Number

The fraction 47213 can be written as the mixed number 36413.

Final Answer

The result of 199/13 added to 42/2 is:

19913+422=36413

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: