Question

Using appropriate property find
-1/6 * 4/7 + 1/2 -3/7*1/6

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Answer 1

Answer:

-1/6*4/7+1/2-3/7*1/6

=1/6(-4/7-3/7)+1/2

=1/6(-7/7)+1/2

=1/6(-1)+1/2

=-1/6+1/2

=-1+3/6

=2/6

=1/3

Answer 2

We need to recall the following PEMDAS rule.

The order of mathematical operations is Parenthesis, Exponents, Multiplication and  Division, Addition, and Subtraction (from left to right direction).

Given:

$-\frac{1}{6} *\frac{4}{7} +\frac{1}{2} -\frac{3}{7} *\frac{1}{6}$

Using the PEMDAS rule, we get

$\frac{-1*4}{6*7} +\frac{1}{2} -\frac{3*1}{7*6}$

$=-\frac{4}{42} +\frac{1}{2} -\frac{3}{42}$

$=-\frac{2}{21} +\frac{1}{2} -\frac{3}{42}$

$=\frac{-4+21}{21*2} -\frac{3}{42}$

$=\frac{17}{42} -\frac{3}{42}$

$=\frac{17-3}{42}$

$=\frac{14}{42}$

$=\frac{1}{3}$