Question

modeling real life you have $2\frac{2}{3}$ ounces of sodium chloride. you want to replicate an experiment that uses $2\frac{3}{4}$ ounces of sodium chloride. do you have enough sodium chloride? if not, how much more do you need?○ yes; you have enough.○ no; you need $\frac{1}{3}$ ounce more.○ no; you need $\frac{1}{4}$ ounce more.○ no; you need $\frac{1}{12}$ ounce more.

Explanation:

Step1: Convert mixed numbers to fractions

$2\frac{2}{3} = \frac{2\times3 + 2}{3} = \frac{8}{3}$, $2\frac{3}{4} = \frac{2\times4 + 3}{4} = \frac{11}{4}$

Step2: Find common denominator and compare

Common denominator is 12: $\frac{8}{3} = \frac{32}{12}$, $\frac{11}{4} = \frac{33}{12}$. Since $\frac{32}{12} < \frac{33}{12}$, we don't have enough.

Step3: Calculate the deficit

$\frac{11}{4} - \frac{8}{3} = \frac{33}{12} - \frac{32}{12} = \frac{1}{12}$

Answer:

No; you need $\frac{1}{12}$ ounce more.