∵ There are 142 who prefer carrots
∵ There are 250 all
∴ The fraction represents who prefer carrots is
[tex]\frac{142}{250}[/tex]We must simplify the fraction by divide up and down by the same number until getting the simplest form
∵ 142 and 250 can divide by 2
[tex]\therefore\frac{\frac{142}{2}}{\frac{250}{2}}=\frac{71}{125}[/tex]∵ 71 and 125 can not divide by any number
∴ The fraction is 71/125
∴
∵ There are 97 who prefer peas
∵ There 250 all
∴ The fraction represents who prefer peas is
[tex]\frac{97}{250}[/tex]∵ 97 and 250 can not divide by the same number
∴ The fraction is 97/250
∴ The ratio is 97: 250
