Question

Perform the indicated operation. 2 1/6 – 5 2/3

A. -7 1/2

B. -3 1/3

C. -3 1/2

D. 3 1/6

Answer 1

2 1/6 – 5 2/3
=2 1/6 – 5 4/6
= - 3 3/6
= -3 1/2

answer
C. -3 1/2

Answer 2

Option C -
`2(1)/(6)-5(2)/(3)=-3(1)/(2)`

Explanation:

Given : Expression
`2(1)/(6)-5(2)/(3)`

To find : Perform the indicated operation in the expression ?

Solution :

Expression
`2(1)/(6)-5(2)/(3)`

Write mixed fraction into fraction,

`2(1)/(6)-5(2)/(3)=(13)/(6)-(17)/(3)`

Taking Least common denominator,

`2(1)/(6)-5(2)/(3)=(13-34)/(6)`

`2(1)/(6)-5(2)/(3)=-(21)/(6)`

`2(1)/(6)-5(2)/(3)=-(7)/(2)`

Write improper fraction into mixed fraction,

`2(1)/(6)-5(2)/(3)=-3(1)/(2)`

Therefore, Option C is correct.