Question

A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn

section of his field. This situation is shown in the model. What fraction of the
whole field is planted with white corn?​

Answer 1

`(3)/(20)`

Explanation:

Fraction of the total that is for corn (TC - Total corn):

`TC=(1)/(4)`

fraction of the corn section that is for white corn (WC - white corn in the corn seccion):

`WC=(3)/(5)`

we need to find the fraction of the whole field that is for the white corn.

For this we need to find how much is
`(3)/(5)` out of the
`(1)/(4)` destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn (
`(1)/(4)`) by the fraction of white corn in the corn section (
`(3)/(5)`).

I will call the total fraction of white corn TWC, thus:

`TWC=WC*TC=\\=(3)/(5) *(1)/(4) \\\\=(3*1)/(5*4) \\\\=(3)/(20)`

the answer is:
`(3)/(20)` of the whole field is planted with white corn