Question

Simplify. Show your work
5 1/3 + (-3 9/18)

Answer 1

`1(5)/(6)`

Explanation:

we have

`5(1)/(3)+(-3(9)/(18))`

Convert mixed number to an improper fractions

we know that

`5(1)/(3)=(5*3+1)/(3)=(16)/(3)`

`3(9)/(18)=3(1)/(2)=(3*2+1)/(2)=(7)/(2)`

substitute the values

`(16)/(3)+(-(7)/(2))`

`(16)/(3)-(7)/(2)=(16*2-7*3)/(6)=(11)/(6)`

Convert to mixed number

`(11)/(6)=(6)/(6)+(5)/(6)=1(5)/(6)`