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?

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 Link

calculista calculista · Answer 2 · 2018-10-25T11:09:19-04:00

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 \(\frac{1,005}{2,669}\)