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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

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carlosego

Answer: [tex]\frac{11}{15}[/tex]

Step-by-step 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:

[tex]LCM=5*3=15[/tex]

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

- Make the addition.

Then, the result is:

[tex]\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}[/tex]

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