Question

1) multiplicative inverse of -3/11
2) the product of a rational number and its ______ is always 1
3) -3/11 - (-6/11)
4) -5/11 ÷ (-90/55)
5) on subtracting the sum of 5/9 and 2/9 from -4/9, we get ____
6) what number should be added to 3/5 to get -5/7​

Answer 1

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1)multiplicative inverse of -3/11 is -11/3

2)the product of a rational number and its reciprocal is always 1

3) $\sf \frac{ - 3}{11} - \frac{ - 6}{11} = \frac{ (- 3) -( - 6)}{11}$

$\sf = \frac{3}{11}$

∴ -3/11 - (-6/11) = 3/11

4)$\sf \frac{ - 5}{11} \div \frac{ - 90}{55} = \sf \frac{ - 5}{11} \times \frac{ 55}{ - 90}$

$\sf \frac{ \cancel{- 5}}{\cancel{11}} \times \frac{ \cancel{ 55}}{ \cancel{ - 90}} = \sf \frac{1}{1} \times \frac{5}{18}$

$\sf \frac{1}{1} \times \frac{5}{18} = \frac{5}{18}$

∴ -5/11 ÷ (-90/55) = 5/18

5) 5/9 + 2/9 = 7/9

then, -4/9 - 7/9 = -11/9

∴ on subtracting the sum of 5/9 and 2/9 from -4/9, we get -11/9

6)-5/7 - 3/5

lcm of denominators = 35

= -5 × 5 - 3 × 7 / 35

= -5 × 5 - 21 / 35

= -25 - ( -21 ) / 35

= -46 / 35

∴ -46 / 35 should be added to 3/5 to get -5/7

Answer 2

Answer:

1) -11/3 is your answer