Question

select the correct answer.
alice bought \\(\frac{8}{9}\\) of a pound of grapes and ate \\(\frac{1}{3}\\) of a pound. how many pounds were left?
\\(\bigcirc\\) a. \\(\\ \\ \frac{8}{6}\\)
\\(\bigcirc\\) b. \\(\\ \\ \frac{7}{3}\\)
\\(\bigcirc\\) c. \\(\\ \\ \frac{7}{9}\\)
\\(\bigcirc\\) d. \\(\\ \\ \frac{5}{9}\\)

Explanation:

Step1: Convert to common denominator

To subtract \(\frac{1}{3}\) from \(\frac{8}{9}\), we need a common denominator. The common denominator of 9 and 3 is 9. So, \(\frac{1}{3}=\frac{1\times3}{3\times3}=\frac{3}{9}\).

Step2: Subtract the fractions

Now, subtract the two fractions: \(\frac{8}{9}-\frac{3}{9}=\frac{8 - 3}{9}=\frac{5}{9}\).

Answer:

D. \(\frac{5}{9}\)