Possible terms

Write the following expression using the fewest possible terms.

the expression quantity two-fifths times t minus 7 plus two-thirds times t end quantity minus quantity five-sixths times t plus 14 end quantity

Correct answer:

x = 7/30 * t - 21

Step-by-step explanation:

$$\begin{gathered} x=(\frac{2}{5}\cdot t-7+\frac{2}{3}\cdot t)-(\frac{5}{6}\cdot t+14)) \\ x=\frac{2}{5}\cdot t-7+\frac{2}{3}\cdot t-\frac{5}{6}\cdot t-14 \\ f=\frac{2}{5}+\frac{2}{3}-\frac{5}{6}=\frac{12}{30}+\frac{20}{30}-\frac{25}{30}=\frac{12+20-25}{30}=\frac{7}{30}\doteq 0.2333 \\ x=7/30\cdot t-21 \end{gathered}$$

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