Question

Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the remaining spice mixture was chili powder what fraction of the total amount of spice mixture was oregano and basil

Answer 1

Answer:
`(11)/(15)`

Explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

`LCM=5*3=15`

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

`((2*3)+(1*5))/(15)=(6+5)/(15)=(11)/(15)`