Question

Evaluate and write in simplest form 1 3/4+5/6

Answer 1

To simplify 1 3/4 + 5/6, first convert the mixed number to an improper fraction, find the least common denominator, convert each fraction, add them and simplify to get 2 7/12.

Step-by-step explanation:

To evaluate and write in simplest form 1 3/4 + 5/6, we need to follow these steps:

1. Convert the mixed number to an improper fraction: 1 3/4 becomes 7/4.
2. Find a common denominator for the fractions 7/4 and 5/6.
3. The least common denominator (LCD) here is 12.
4. Convert both fractions to have the LCD as the denominator.
5. Therefore, 7/4 becomes 21/12 and 5/6 becomes 10/12.
6. Add the numerators while keeping the common denominator: 21/12 + 10/12 = 31/12.
7. Simplify the result. Since 31/12 is an improper fraction, convert it to a mixed number which is 2 7/12.

This process simplifies 1 3/4 + 5/6 to 2 7/12 in its simplest form.