Question

the rational number which is not lying between 5/16 and 1/2 options = a) 3/8 b) 7/16 c) 1/4 d) 13/32

Answer 1

Solution :

$\frac{5}{16}$ in decimal form = 0.3125

$\frac{1}{2}$ in decimal form = 0.5

As per your question, the given options are :

$\frac{3}{8}$ in decimal form = 0.375

$\frac{7}{16}$ in decimal form = 0.4375

$\frac{1}{4}$ in decimal form = 0.25

$\frac{13}{32}$ in decimal form = 0.40625

We observe that 0.375, 0.4375 and 0.40625 lies between 0.3125 and 0.5.

Hence, $\frac{1}{4} = 0.25$ doesn't lie between $\frac{5}{16}$ = 0.3125 and $\frac{1}{2}$ = 0.5