1/4 of a vegetable garden has broccoli and 2/3 of the garden has peppers. How much of the garden has vegetables growing in it?

Answer 1

Assuming this question is asking to find out how much of the garden has broccoli and peppers growing in it, we would do the following.

We know that 1/4 of the garden has broccoli and

2/3 of the garden has peppers, we need to add up those 2 fractions to find out how much of the entire garden has broccoli and peppers.

Step 1 is to write out mathematically what needs to be done: 1/4 + 2/3

We also know that in order to add fractions denominators need to be the same, so Step 2 would be exactly that, make denominators the same. To do so, we multiply each fraction by a whole represented by the denominator from the other fraction. so 1/4 would be multiplied by 3/3 and 2/3 would be multiplied by 4/4.

1 * 3 3

-- -- = --

4 * 3 12

2 * 4 8

-- -- = --

4 * 4 12

Now we have both fractions with a common denominator and in Step 3 we add them up to find out how much of the garden is occupied by broccoli and peppers.

3/12 + 8/12 = 11/12

Answer: 11/12 of the garden is occupied by broccoli and peppers.

Hope this helps.

Answer 2

This sounds like a trick question. Since it's a vegetable garden, 100% of it is for vegetables. But if the question is how much of the garden has broccoli and peppers growing in it, the answer is:

1/4 + 2/3

Convert the fractions so they have a common denominator, which is 4×3=12:

(1/4)(3/3) + (2/3)(4/4) = 3/12 + 8/12 = ?

Answer 3

answer is 3⁄8