Question

Is 9/16 closest to 0 or 1/2 or 1

is 5/6 closets to 0 or 1/2 or 1

Answer 1

9/16 is closer to 1/2 because 8 is half of 16 and 9 is one greater than 8. so it is closer to 1/2.

5/6 is closer to 1 because 6/6=1 and 5 is just one less than 6. so it is closer to 1.

Answer 2

`(9)/(16) > (9)/(18)=(1)/(2)\\\\(9)/(16) < (16)/(16)=1\\\\therefore\ (1)/(2) < (9)/(16) < 1\\\\(9)/(16)-(1)/(2)=(9)/(16)-(8)/(16)=(1)/(16)\\\\1-(9)/(16)=(16)/(16)-(9)/(16)=(7)/(16)\\\\(1)/(16) < (7)/(16)\\\\Conclusion:\ (9)/(16)\ is\ clostes\ to\ (1)/(2)`


`other\ solution:\\\\(9)/(16)=0.5625\\\\(1)/(2)=0.5\\\\0.5625-0.5=0.0625\\1-0.5626=0.4375\\\\Conclusion:(9)/(16)=0.5625\ is\ clostes\ to\ (1)/(2)=0.5.`



`(5)/(6) > 0\\\\(5)/(6) > (3)/(6)=(1)/(2)\\\\(5)/(6) < (6)/(6)=1\\\\(5)/(6)-(1)/(2)=(5)/(6)-(3)/(6)=(2)/(6)\\\\1-(5)/(6)=(6)/(6)-(5)/(6)=(1)/(6)\\\\(2)/(6) > (1)/(6)\\\\Conclusion:(5)/(6)\ is\ closest\ to\ 1`