Question

5. Evaluate: {(1/3)-3 - (1/2)-3} ÷ (1/4)-3

Answer 1

Step-by-step explanation:

8/3-5/2/1/4-3

16-15/6/ 11/4

1/6/11/4

1/6×11/4

=4/66

Answer 2

Answer can be $\frac{74}{33}$ or $\frac{19}{64}$

Step-by-step explanation:

The question is not clear.

It can be understood as follows:

WAY 1: (Assuming that -3 is present as an integer in the numerator as well as the denominator)

$(\frac{1}{3}-3-(\frac{1}{2})-3)/(\frac{1}{4}-3)$

$=(\frac{2-18-3-18}{6})/(\frac{1-12}{4})$

$=(\frac{2-39}{6})/(\frac{-11}{4})$

$=(\frac{-37}{6})/(\frac{-11}{4})$

$=(\frac{-37}{6})\times(\frac{-4}{11})$

$=(\frac{37}{3})\times(\frac{2}{11})$

$=\frac{74}{33}$

WAY 2: (Assuming that -3 is present in the power terms)

$((\frac{1}{3})^{-3}-(\frac{1}{2})^{-3})/(\frac{1}{4}^{-3})$

$=(3^3 - 2^3)/ 4^3$

$=(27-8)/64$

$=\frac{19}{64}$