Question

How i do 46 2/3% of 28

Answer 1

28 - 100%
x - 46
`(2)/(3)`

28 : 100 = х : 46
`(2)/(3)`
х = 46
`(2)/(3)` * 28 : 100
x = 13
`(1)/(5)` - the answer.

Answer 2

Step 1

convert mixed number to an improper fraction

`46(2)/(3)\%= (46*3+2)/(3)= (140)/(3)\%`

Step 2

we know that

`28` represent the
`100\%`

so

by proportion find the
`(140)/(3)\%`

`(28)/(100)= (x)/((140/3)) \\\\100*x=28*(140/3) \\ \\x=(28)/(100) (140)/(3) \\ \\x=13.0666`

Convert to a mixed number

`13.0666..=13+0.066..=13+(2)/(30)=13(2)/(30)=13(1)/(15)`

therefore

the answer is

`13(1)/(15)`