Question

Which fraction is greater than the fraction 3:8,

a. 1:4
b. 7:16
c. 1:8
d. 3 :16

Answer 1

`(3)/(8) \\ (1)/(4)=(1 * 2)/(4 * 2)=(2)/(8) \\ 3 \ \textgreater \ 2 \Rightarrow (3)/(8) \ \textgreater \ (2)/(8) \Rightarrow (3)/(8)\ \textgreater \ (1)/(4) \\ \hbox{not greater} \\ \\ (3)/(8)=(3 * 2)/(8 * 2)=(6)/(16) \\ (7)/(16) \\ 6\ \textless \ 7 \Rightarrow (6)/(16) \ \textless \ (7)/(16) \Rightarrow (3)/(8) \ \textless \ (7)/(16) \\ \hbox{greater}`


`(3)/(8) \\ (1)/(8) \\ 3\ \textgreater \ 1 \Rightarrow (3)/(8) \ \textgreater \ (1)/(8) \\ \hbox{not greater} \\ \\ (3)/(8) =(3 * 2)/(8 * 2)=(6)/(16) \\ (3)/(16) \\ 6\ \textgreater \ 3 \Rightarrow (6)/(16) \ \textgreater \ (3)/(16) \Rightarrow (3)/(8) \ \textgreater \ (3)/(16) \\ \hbox{not greater}`

The answer is B.

Answer 2

Look, that:


`(1)/(4) = (2)/(8) \\ \\ (7)/(16)= (3.5)/(8) \\ \\ (1)/(8) \\ \\ (3)/(16)=(1.5)/(8)`

(in second and fourth fractions just divide nominator and denominator by 2). Greater than 3/8 is this fraction, which has nominator greater than 3. It is 3.5/8. So 7:16 - answer b)