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Delhi Police Constable Exam Model Paper 3

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Question : 79 of 100

Marks: +1, -0

Of the following the largest fraction is

\frac{6}{7}, \frac{4}{5}, \frac{5}{6}, \frac{7}{8}, \frac{4}{7} ?

$\frac{6}{7}$
$\frac{4}{5}$
$\frac{5}{6}$
$\frac{7}{8}$

Solution:

We find the LCM of all the denominators i.e., 7, 5, 6 and 8

LCM of 7, 5, 6, 8 = 840

⇒

\frac{6}{7} = \frac{6 \times 120}{840} = \frac{720}{840}

;⇒

\frac{4}{5} = \frac{4 \times 168}{840} = \frac{672}{840};

⇒

\frac{5}{6} = \frac{5 \times 140}{840} = \frac{700}{840};

⇒

\frac{7}{8} = \frac{7 \times 105}{840} = \frac{735}{840};

Clearly,

\frac{4}{5} < \frac{5}{6} < \frac{6}{7} < \frac{7}{8}

∴ Largest fraction = 7/8Question Number: 80

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