Question

Find the average of 1/8, 1/6, and 3/4

Answer 1

Average=
`(25)/(72)`

Explanation:

o find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=
`(1)/(8)` +
`(1)/(6)` +
`(3)/(4)`

The least common denominator (LCD) is: 24.

Rewriting as equivalent fractions with the LCD:

=
`(3)/(24\\)` + 
`(4)/(24)` +
`(18)/(24)`

Rewriting numerators over the common denominator,

=
`(3 + 4 + 18)/(24)`

Totaling the numerator:

=
`(25)/(24)`

Dividing by the number of values: 3

`(25)/(24)` ÷3 =
`(25)/(24)` ×
`(1)/(3)` =
`(25)/(72)`

Average of the fractions is:

Average=
`(25)/(72)`