Answer:
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}−
6
1
∗
7
4
+
2
−
3
Using the PEMDAS rule, we get
\frac{-1*4}{6*7} +\frac{1}{2} -\frac{3*1}{7*6}
6∗7
−1∗4
7∗6
3∗1
=-\frac{4}{42} +\frac{1}{2} -\frac{3}{42}=−
42
=-\frac{2}{21} +\frac{1}{2} -\frac{3}{42}=−
21
=\frac{-4+21}{21*2} -\frac{3}{42}=
21∗2
−4+21
=\frac{17}{42} -\frac{3}{42}=
17
=\frac{17-3}{42}=
17−3
=\frac{14}{42}=
14
=\frac{1}{3}=
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Verified answer
Answer:
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}−
6
1
∗
7
4
+
2
1
−
7
3
∗
6
1
Using the PEMDAS rule, we get
\frac{-1*4}{6*7} +\frac{1}{2} -\frac{3*1}{7*6}
6∗7
−1∗4
+
2
1
−
7∗6
3∗1
=-\frac{4}{42} +\frac{1}{2} -\frac{3}{42}=−
42
4
+
2
1
−
42
3
=-\frac{2}{21} +\frac{1}{2} -\frac{3}{42}=−
21
2
+
2
1
−
42
3
=\frac{-4+21}{21*2} -\frac{3}{42}=
21∗2
−4+21
−
42
3
=\frac{17}{42} -\frac{3}{42}=
42
17
−
42
3
=\frac{17-3}{42}=
42
17−3
=\frac{14}{42}=
42
14
=\frac{1}{3}=
3
1