Question

which is greater from 1/4+1/7 and 1/12+5/6

Answer 1

1/12+5/6=11/12
whereas,1/4+1/7=11/28
According to the rule...
if Numerators are same,smaller the denominator;Greater is the fraction..thus the second option is a greater fraction.

Answer 2

$\frac{1}{4} + \frac{1}{7} = \frac{7 + 4}{28} = \frac{11}{28}$
And
$\frac{1}{12} + \frac{5}{6} = \frac{1 + 10}{12} = \frac{11}{12}$
LCM of 28 and 12 is 84.

$\frac{11}{28} = \frac{11 \times 3}{28 \times 3} = \frac{33}{84} \\ and \: \frac{11}{12} = \frac{11 \times 7}{12 \times 7} = \frac{77}{84}$
Therefore 1/12 + 5/6 is greater.

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