Which of the following is the smallest fraction?
Which of the following is the smallest fraction?
$latex \frac{8}{25}, \frac{7}{23}, \frac{11}{23}, \frac{14}{53}&s=1$
[A]$latex \frac{11}{23}&s=1$
[B]$latex \frac{14}{53}&s=1$
[C]$latex \frac{8}{25}&s=1$
[D]$latex \frac{7}{23}&s=1$
$latex \mathbf{\frac{14}{53}}&s=1$
$latex \frac{8}{25} = 0.32, \frac{7}{23} = 0.30&s=1$
$latex \frac{11}{23} = 0.47, \frac{14}{53} = 0.26&s=1$
$latex \therefore \frac{14}{53}&s=1$ is the smallest fraction.
Hence option [B] is the correct answer.