We need find the value of "5 times 2/3" using model.
2/3 can be represented by a rectangle in which 2 out of 3 parts are colored.
When we find 5 times 2/3, then the total colored parts are 10
5 times 2/3 is the same that Add 2/3 five times, that is:
5 x 2/3 = 2/3 + 2/3 + 2/3 + 2/3 + 2/3
take into account that the sum of fractions with the same denominators is equal to the sum of the numerators, over the common denominator, as follow:
2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 10/3
The model is shown below:
You can notice that each rectangle has 2 blue parts of the total three parts, that is, 2/3. And due to there are other five rectangles with 2/3 of blue parts, then, you have 5 times 2/3, or 5 x 2/3 = 10/3.
Answer:
b =
Step-by-step explanation:
Given
k = ← multiply both sides by (v - b)
k(v - b) = brt ← distribute left side
kv - kb = brt ( subtract brt from both sides )
kv - kb - brt = 0 ( subtract kv from both sides )
- kb - brt = - kv ( multiply through by - 1 to clear the negatives )
kb + brt = kv ← factor out b from each term on the left
b(k + rt ) = kv ← divide both sides by (k + rt )
b =