Rearrange suitably and solve 2/7+3/8+4/21+9/16
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Answer
Correct option is
A
21
43
Re-arranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with equal denominators, we have
7
−4
+
6
7
+
7
2
+3+
6
−11
=(
7
−4
+
7
2
)+(
6
7
+
6
−11
)+3
=
7
(−4)+2
+
6
7+(−11)
+3=
7
−2
+
6
(−4)
+3
=
7
(−2)
+
3
(−2)
+3[
∴
6
−4
=
3
−2
]
=(
7
(−2)
+
3
(−2)
)+3
=
21
(−2)×3+(−2)×7
+3=
21
(−6)+(−14)
+3
=
21
(−20)
+
1
3
=
21
(−20)+3×21
=
21
(−20)+63
=
21
43
Step-by-step explanation:
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