Exercise: Adding Fractions

Two fractions are added by expanding them to the common denominator and then adding their numerators.

Check whether the result can be simplified.

If you would like to have a vivid explanation with a detailed example, please read the page Addition Fraction plus Fraction - Pizza Roma with lots of cheese, please!

Step 1: Determine the common denominator:

The common denominator is equal to the lowest common multiple (LCM) of the two denominators: 4 is a multiple of 2. Therefore the common denominator is 4

Step 2: Expand to the common denominator:

Expand the first fraction with the number 2

1	+	1	=	1 × 2	+	1	=	2	+	1
2		4		2 × 2		4		4		4

Step 3: Add the numerators:

Since the two fractions have a common denominator, you can add:

2	+	1	=	2 + 1	=	3
4		4		4		4

Step 4: Check whether the result can be simplified

The result can not be simplified.