Question

Evaluate.

Answer 1

Replace a and b with their given values:

(2(3/5) -1/3) / -6.75/15

2 x 3/5 = 6/5

6/5 - 1/3 = 18/15 - 5/15 = 13/15

13/15 / -6.75/15 = 13/15 x 15/-6.75  = (13 x 15) / (15 x -6.75) = 195/-101.25  = -1 25/27

Answer: -1 and 25/27

Answer 2

Answer:

$3 \frac{11}{27}$

Step-by-step explanation:

$(2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27}$