Question

add the multiplicative inverse of 3 upon 8 and 7 upon 12​

Answer 1

multiplicative inverse of 3/8 and 7/12= -3/8 and -7/12

Step-by-step explanation:

now add the multiplicative inverse,

= -3/8+(-7/12)

= -9-14/24

= -23/24 is the answer

Answer 2

The multiplicative inverse is called the reciprocal of the number.

if a number is x then it's reciprocal will be

$\frac{1}{x}$

The multiplicative inverse of a fraction

$\frac{x}{y} = \frac{y}{x}$

The given question is we have to add the multiplicative inverse of two fractions, they are

$\frac{3}{8} and \: \frac{7}{12}$

The multiplicative inverse of

$\frac{3}{8} = \frac{8}{3}$

The multiplicative inverse of

$\frac{7}{12} = \frac{12}{7}$

The addition of these two multiplicative inverse is given by

$\frac{8}{3} + \frac{12}{7} \\ the \: lcm \: is \: 21 \\ (\frac{8}{3} \times 7) + (\frac{12}{7} \times 3) \\ = \frac{(56 + 36)}{21} \\ = \frac{92}{21}$

Therefore, the addition of multiplicative inverse of two fractions is

$\frac{92}{21}$

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