What is the sum of one and one-half plus two and one-third expressed as a mixed number?

To find the sum of one and one-half plus two and one-third, it helps to first convert these mixed numbers into improper fractions.

One and one-half can be converted as follows:

1. Multiply the whole number (1) by the denominator (2) to get 2.

2. Add the numerator (1) to this product: 2 + 1 = 3.

3. So, one and one-half is represented as the improper fraction 3/2.

Now, convert two and one-third:

1. Multiply the whole number (2) by the denominator (3) to get 6.

2. Add the numerator (1) to this product: 6 + 1 = 7.

3. Thus, two and one-third is represented as the improper fraction 7/3.

Now, we sum these two improper fractions:

• The least common denominator (LCD) of 2 and 3 is 6.

• Convert 3/2 to six as the denominator: (3/2) * (3/3) = 9/6.

• Convert 7/3 to six as the denominator: (7/3) * (2/2) = 14/6