micheal puts 3 beads next to each other on a piece of string to make a bracelet. Each bead has a width of 5/6 inch. which expression and fraction both represent the total width of three beads?

Answer 1

When we multiply a whole number with a fraction, we can think of the whole numbers as "over one"...

5 3 5 15

3 * --- = --- * ---- = ----

6 1 6 6

We can further simplify the fraction, by dividing numerator and denominator by 3...

15 15 / 3 5

--- = ------- = ----

6 6 / 3 2

Since this is an improper fraction, we need to turn it into a mixed number...

5 2 + 2 + 1 2 2 1 1 1

---- = -------------- = --- + ---- + --- = 1 + 1 + ---- = 2 --- or 2.5

2 2 2 2 2 2 2