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Answer:
\tt\huge \color{blue}QUESTION \bold\blue{: }QUESTION:
\frac{2}{5} \times ( - \frac{3}{7} ) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}
5
2
×(−
7
3
)−
6
1
×
2
3
+
14
1
×
5
2
\tt\huge \color{orange}ANSWER \bold\orange{: }ANSWER:
\frac{2}{5} \times ( - \frac{3}{7} ) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}
5
2
×(−
7
3
)−
6
1
×
2
3
+
14
1
×
5
2
= \frac{2}{5} \times ( - \frac{3}{7} ) + \frac{1}{14} \times \frac{2}{5} - \frac{1}{6} \times \frac{3}{2}=
5
2
×(−
7
3
)+
14
1
×
5
2
−
6
1
×
2
3
= \frac{2}{5} \times ( - \frac{3}{7} + \frac{1}{14} ) - \frac{1}{6} \times \frac{3}{2}=
5
2
×(−
7
3
+
14
1
)−
6
1
×
2
3
= \frac{2}{5} \times ( \frac{ -3 \times 2 + 1}{14} ) - \frac{1}{6} \times \frac{3}{2}=
5
2
×(
14
−3×2+1
)−
6
1
×
2
3
= \frac{2}{5} \times ( \frac{ - 6 + 1}{14} ) - \frac{1}{6} \times \frac{3}{2}=
5
2
×(
14
−6+1
)−
6
1
×
2
3
= \frac{2}{5} \times \frac{( - 5)}{14} - \frac{1}{6} \times \frac{3}{2}=
5
2
×
14
(−5)
−
6
1
×
2
3
= \frac{ - 1}{7} - \frac{1}{6} \times \frac{3}{2}=
7
−1
−
6
1
×
2
3
= \frac{ - 1}{7} - \frac{1}{2} \times \frac{1}{2}=
7
−1
−
2
1
×
2
1
= \frac{ - 1}{7} - \frac{1}{4}=
7
−1
−
4
1
= \frac{ - 4 - 7}{7 \times 4}=
7×4
−4−7
= \frac{ - 11}{28}=
28
−11