Question

Madison planted her garden with 2 5 marigolds and 3 7 tulips. What fraction of the plants in the garden are either marigolds or tulips?

Answer 1

To answer this you will combine both fractions together to get a total. The denominators are not the same so you will need to create equivalent fractions for both with a common denominator. The denominator is like the units, and to be able to add them they must be the same.

2/5 + 3/7

2/5 = 14/35 and 3/7 = 15/35

14/35 + 15/35 = 29/35

29/35 of the garden are these 2 flowers.

Answer 2

`(29)/(35)`

Explanation:

We have been given that Madison planted her garden with
`(2)/(5)` marigolds and
`(3)/(7)` tulips.

To find the number of plants in the garden that are either marigolds or tulips, we will add both numbers as:

`(2)/(5)+(3)/(7)`

Make a common denominator:

`(2\cdot 7)/(5\cdot 7)+(3\cdot 5)/(7\cdot 5)`

`(14)/(35)+(15)/(35)`

Add numerators:

`(14+15)/(35)`

`(29)/(35)`

Therefore,
`(29)/(35)` of the plants in the garden are either marigolds or tulips.