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 $125\frac{5}{8}$ pounds of fruit

Step 1

Find the total pounds of vegetables and fruit

convert mixed number to an improper fraction

$125\frac{5}{8}=\frac{125*8+5}{8}=\frac{1,005}{8}$

$208+\frac{1,005}{8}=\frac{208*8+1,005}{8}=\frac{2,669}{8}\ pounds$

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

$\frac{(1,005/8)}{(2,669/8)}=\frac{1,005}{2,669}$  

therefore

the answer is

the fraction is equal to  $\frac{1,005}{2,669}$