Find the result obained by the addition of 2-3 to the reciprocal of -2-3-

The correct option is A 5/6 Reciprocal of 2/3 is 3/2. 2/3 nbsp; 3/2 nbsp;= 4/6 9/6 nbsp;= (4 9)/6 = 5/6 nbsp;[LCM of 2 and 3 is 6] ...

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Byju's Answer

Standard VII

Mathematics

Addition of Rational Numbers

Find the resu...

Question

Find the result obained by the addition of
$\frac{2}{3} to the reciprocal of \frac{- 2}{3} .$

$\frac{5}{6}$

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$\frac{- 5}{6}$

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$\frac{6}{7}$

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$\frac{- 6}{7}$

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Solution

The correct option is B
$\frac{- 5}{6}$

$Reciprocal of \frac{- 2}{3} is \frac{- 3}{2} .$

$\frac{2}{3} - \frac{3}{2} = \frac{4}{6} - \frac{9}{6} = \frac{(4 - 9)}{6} = \frac{- 5}{6}$

[LCM of 2 and 3 is 6]

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Similar questions

Find the result obained by the addition of
$\frac{2}{3} to the reciprocal of \frac{- 2}{3} .$

Q. 2 + 3 = 10
8 + 4 = 96
7 + 2 = 63
6 + 5 = 66
9 + 5 = ?

Q. Practice Time
(1) 28 ÷ 2 =
(2) 56 ÷ 7 =
(3) 48 ÷ 4 =
(4) 66 ÷ 6 =
(5) 96 ÷ 8 =
(6) 110 ÷ 10 =

Q. The resultant of

7 \sqrt{3} + 3 \sqrt{5} - 2 \sqrt{3} - 6 \sqrt{5}

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$

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Find the result obained by the addition of 23 to the reciprocal of −23.

The correct option is B −56 Reciprocal of −23 is −32. 23−32=46−96=(4−9)6=−56 [LCM of 2 and 3 is 6]

Find the result obained by the addition of
$\frac{2}{3} to the reciprocal of \frac{- 2}{3} .$

The correct option is B
$\frac{- 5}{6}$

$Reciprocal of \frac{- 2}{3} is \frac{- 3}{2} .$

$\frac{2}{3} - \frac{3}{2} = \frac{4}{6} - \frac{9}{6} = \frac{(4 - 9)}{6} = \frac{- 5}{6}$

[LCM of 2 and 3 is 6]