Question

a trail mix recipe calls for 1/3 pound of mixed nuts, 4/15 pound of raisins and 2/5 pounds of granola. What is the ratio of raisins to mixed nuts in simplest form?

Answer 1

`\text {the ratio of raisins to mixed nuts is}`
`{\boxed {4:5}}`

The problem is asking us to determine thew ratio of raisins to mixed nuts in the simplest form.

Solution & detailed explanation

Let's start.

We have two fractions here.

`(1)/(3) \text{and} (4)/(15)`

We would need to simplify both of the fractions, the LCM of both fractions is 15.

`(1)/(3) \rightarrow (5)/(15)`

Since we now have the same denominators we could convert this into a ratio.

4:5

Therefore, the ratio of of raisins to mixed nuts is 4:5

Answer 2

The unsimplified ratio of raisins to mixed nuts in the trail mix is:

4/15 to 1/3

To simplify this, it is easiest to make 1/3 into an equivalent fraction with the denominator 15 by multiplying both the numerator and the denominator by 5.

1 * 5 / 3 * 5 = 5 / 15

If we substitute in this new value, our ratio is:

4/15 : 5/15

Because both of these fractions have the same denominators, we can just compare their numerators, so we can simplify our ratio to be:

4:5

Therefore, your final answer is a 4:5 ratio of raisins to mixed nuts.

Hope this helps!