का मान ज्ञात कीजिए|

$9\frac{4}{15}\div\frac{7}{8}\text{of}\:(6\frac{1}{5} + 3\frac{2}{5}) - (\frac{2}{21} + \frac{1}{126})$ का मान ज्ञात कीजिए|

Option
a) 1
b) 3
c) 5
d) 10

Solution:

$9\frac{4}{15}\div\frac {7}{8}\text{of} (6\frac{1}{5} +3\frac{2}{5}) - (\frac{2}{21} +\frac{1}{126})$
$\frac {139}{15}\div\frac{7}{8}\text{of}(\frac{31}{5} +\frac {17}{5}) - (\frac{12 +1}{126}$
$\frac{139}{15}\div\frac{7}{8}\text{of}(\frac{48}{5}) - \frac{13}{126}$
$\frac{139}{15}\div \frac{7}{8}\times \frac{48}{5} -\frac {13}{126}$
$\frac {139}{15}\div\frac {42}{5} - \frac{13}{126}$
$\frac{139}{15}\times\frac{5}{42} =\frac{139}{126} -\frac{13}{126} = \frac{126}{126} =1$