Question

A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds of fruit. What fraction of the total pounds of fruit and vegetables do the pounds of fruit represent?

Answer 1

First change the word problem into an equation
(125 5/8)/(208+125 5/8)
Then solve
(125 5/8)/(333 5/8)
Then change both the numerator and the denominator to improper fractions
(1005/8)/(2664/8)
This is equal to the numerator multiplied by the reciprocal or flipped version of the denominator
1005/8*8/2664
Solve and simplify
1005/2664
335/888

Answer 2

we know that

the average person ate
`208` pounds of vegetables last year and
`125(5)/(8)` pounds of fruit

Step 1

Find the total pounds of vegetables and fruit

convert mixed number to an improper fraction

`125(5)/(8)=(125*8+5)/(8)=(1,005)/(8)`

`208+(1,005)/(8)=(208*8+1,005)/(8)=(2,669)/(8)\ pounds`

Step 2

What fraction of the total pounds of fruit and vegetables do the pounds of fruit represent?

Divide the total pounds of fruit by the total pounds of fruit and vegetables

`((1,005/8))/((2,669/8))=(1,005)/(2,669)`

therefore

the answer is

the fraction is equal to
`(1,005)/(2,669)`