Simplify - 23-4-15-6-7-8- 1-3-1-4 -5-7-3-4 of 3-7

The correct option is D 32/9 Rule : BODMAS () of ÷× + 234156÷78× ( 13+14 )+57÷34 of 37 = 2× 4+341× 6+56÷78× #160; ( 712 ...

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Byju's Answer

Standard XII

Mathematics

Algebra of Complex Numbers

Simplify : ...

Question

Simplify : $\frac{2 \frac{3}{4}}{1 \frac{5}{6}} \div \frac{7}{8} \times (\frac{1}{3} + \frac{1}{4}) + \frac{5}{7} \div \frac{3}{4}$ of $\frac{3}{7}$

\frac{56}{77}

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\frac{49}{80}

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\frac{2}{3}

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3 \frac{2}{9}

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Solution

The correct option is D $3 \frac{2}{9}$
Rule $: B O D M A S$
$()$ of $\div \times + -$
$\frac{2 \frac{3}{4}}{1 \frac{5}{6}} \div \frac{7}{8} \times (\frac{1}{3} + \frac{1}{4}) + \frac{5}{7} \div \frac{3}{4}$ of $\frac{3}{7}$
$= \frac{\frac{2 \times 4 + 3}{4}}{\frac{1 \times 6 + 5}{6}} \div \frac{7}{8} \times (\frac{7}{12}) + \frac{5}{7} \div (\frac{3}{4} \times \frac{3}{7})$
$= (\frac{11}{4} \times \frac{6}{11}) - \frac{7}{8} \times \frac{7}{12} + \frac{5}{7} \div \frac{9}{28}$
$= \frac{3}{2} \times \frac{8}{7} \times \frac{7}{12} + \frac{5}{7} \times \frac{28}{9}$
$= 1 + \frac{20}{9}$
$= \frac{29}{9}$
$= 3 \frac{2}{9}$

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Similar questions

Simplify:

(1)

(2)

(3)

(4)

(5)

(6)

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. Simplify

\frac{7^{- 3} \times 12^{- 3} \times 3^{- 4} \times 49}{6^{- 4} \times 7^{- 1} \times 2^{- 4}}

Simplify:

1) 6 b - 8 (4 b - 9) + 3 b

2) 9 (8 d - 3) - 8 (5 d + 4)

3) 20 - 2 (4 f - 9) + 7 (2 f - 6) + 11

4) 3 + 4 (7 - h) - 4 (3 h - 1)

5) 3 (4 j + 2) - 5 (2 j - 6) + 4 (6 j - 1)

Simplify:
$(\frac{- 4}{5} \times \frac{15}{8}) + (\frac{- 1}{3} \times \frac{- 9}{7}) - (\frac{2}{1} \times \frac{25}{14})$

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Simplify : 234156÷78×(13+14)+57÷34 of 37

The correct option is D 329Rule :BODMAS() of ÷×+−234156÷78×(13+14)+57÷34 of 37=2×4+341×6+56÷78×(712)+57÷(34×37)=(114×611)−78×712+57÷928=32×87×712+57×289 =1+209=299=329

Simplify : $\frac{2 \frac{3}{4}}{1 \frac{5}{6}} \div \frac{7}{8} \times (\frac{1}{3} + \frac{1}{4}) + \frac{5}{7} \div \frac{3}{4}$ of $\frac{3}{7}$