[514−25×559+(12+34)] is equal to:

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Question

[5 \frac{1}{4} - \frac{2}{5} \times 5 \frac{5}{9} + (\frac{1}{2} + \frac{3}{4})]

is equal to:

Options:

A . 916

B . 7718

C . 2412

D . 1224

Answer: Option B
:
B
Given

[5 \frac{1}{4} - \frac{2}{5} \times 5 \frac{5}{9} + (\frac{1}{2} + \frac{3}{4})]

ApplyBODMAS rule to solve
=

[\frac{21}{4} - (\frac{2}{5} \times \frac{50}{9}) + \frac{5}{4}]

=

[\frac{21}{4} - (\frac{20}{9}) + \frac{5}{4}]

Taking LCM of denominators, we have

\frac{189 - 80 + 45}{36} = \frac{154}{36} = \frac{77}{18}

[5 \frac{1}{4} - \frac{2}{5} \times 5 \frac{5}{9} + (\frac{1}{2} + \frac{3}{4})] = \frac{77}{18}

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