Question

What is the reciprocal of 2 3/8

a) -19/8
b)-8/19
c)8/19
d)19/8

Answer 1

Answer is C) 8/19

you do ((2*8)+3)/8
making it 19/8
and the reciprocal is the opposite of that answer, so 8/19

Answer 2

hello!

First, convert the mixed number into an improper fraction:-

`\sf{2\displaystyle(3)/(8) }`

Multiply 2 times 8 and add 3:-

`\sf{\displaystyle(19)/(8)}`

Now, in order to find the reciprocal of this number, we should simply flop it over:-

`\sf{\displaystyle(8)/(19) }`

`\uparrow\sf{reciprocal~of~\displaystyle(19)/(8) }`

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)