Question

What is the resultant obtained when the additive inverse of 5/6 is subtracted from the multiplicative inverse of −5/7×14/15 ?​

Answer 1

Step-by-step explanation:

inverse of -

$- 5 \div 7 \times 14 \div 15 \\ \\ - 7 \div 5 \times 15 \div 14 \\ - 3 \div 2 \: (1) \\ now \: inverse \: of \: 5 \div 6 \\ 6 \div 5 \\ \\ now \: according \: to \: question \: 6 \div 5 \: \: is \: subtracted \: from \: - 3 \div 2 \: \\ then \\ - 3 \div 2 - 6 \div 5 \\ = ( - 15 - 12) \div 10 \\ = - 27 \div 10 \\ = - 2.7$

Answer 2

Answer:

• The required no. is $\dfrac{-2}{3}$

Step-by-step explanation:

To Find:

• Additive inverse of 5/6 is subtracted from the multiplicative inverse of −5/7×14/15.

Solution:

The additive inverse is -a+a =0.

that is 5/6 = -5/6

Multiplicative inverse is a × 1/a =0

Multiplicative inverse of -5/7 × 14/15 is -7/5 × 15/14

Now find the resultant obtained when it will be subtracted

$\: \: \sf \: n = ( \frac{ - 7}{5} \times \frac{15}{14} ) -( \frac{ - 5}{6} ) \\ \\ \: \: \sf \: n = \frac{ - 3}{2} + \frac{5}{6} \\ \\ \: \: \sf \: n = \frac{ - 9 + 5}{6} \\ \\ \: \: \sf \: n = \frac{ - 4}{6} \\ \\ \: \: \sf \: n = \frac{ - 2}{3}$

Hence, after subtracted the number we get -2/3.