The expression 558-637 of 6711-918-8-9 23-11-13-22 of 3-5 equals-

The correct option is C 5/12 Given exp. #160; =458/457 of #160; 7311738÷89 ( 2511+1322 ) of 35 = [ ( 45/8×7/45 )× ( 73/11×8/73 ) ...

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Standard XII

Mathematics

Applications of Dot Product

The expressio...

Question

The expression $\frac{5 \frac{5}{8}}{6 \frac{3}{7}}$ of $\frac{6 \frac{7}{11}}{9 \frac{1}{8}} \div \frac{8}{9} (2 \frac{3}{11} + \frac{13}{22})$ of $\frac{3}{5}$ equals:

1

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\frac{1}{2}

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\frac{5}{12}

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\frac{7}{9}

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Solution

The correct option is C $\frac{5}{12}$
Given exp. $= \frac{\frac{45}{8}}{\frac{45}{7}}$ of
$\frac{\frac{73}{11}}{\frac{73}{8}} \div \frac{8}{9} (\frac{25}{11} + \frac{13}{22})$ of $\frac{3}{5}$

$= [(\frac{45}{8} \times \frac{7}{45}) \times (\frac{73}{11} \times \frac{8}{73})] \div \frac{8}{9} (\frac{50 + 13}{22}) \times \frac{3}{5}$

$= (\frac{7}{8} \times \frac{8}{11}) \div (\frac{8}{9} \times \frac{63}{22}) \times \frac{3}{5}$

$= \frac{7}{11} \div \frac{84}{55} = \frac{7}{11} \times \frac{55}{84} = \frac{5}{12}$

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Similar questions

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

Fill in the blanks:

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ ___

$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ ___

$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ ____ $+ (\times) \frac{- 5}{12}$

$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ ___ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

Q. Simplify:
(i)

\frac{11}{12} \div (\frac{5}{9} \times \frac{18}{25})

(ii)

(2 \frac{1}{2} \times \frac{8}{10}) \div (1 \frac{1}{2} + \frac{5}{8})

(iii)

\frac{15}{16}

(\frac{5}{6} - \frac{1}{2}) \div \frac{10}{11}

(iv)

\frac{9}{8} \div \frac{3}{5}

(\frac{3}{4} + \frac{3}{5})

(v)

\frac{2}{5} \div {\frac{1}{5} o f [\frac{3}{4} - \frac{1}{2}] - 1}

(vi)

(1 \frac{3}{4} \times 3 \frac{1}{7}) - (4 \frac{3}{8} \div 5 \frac{3}{5})

Fill in the blanks.

(i) $(\frac{- 3}{17}) + (\frac{- 12}{5}) = (\frac{- 12}{5}) + (. . . . .)$

(ii) $- 9 + \frac{- 21}{8} = (. . . . . .) + (- 9)$

(iii) $(\frac{- 8}{13} + \frac{3}{7}) + (\frac{- 13}{4}) = (. . . . . .) + [\frac{3}{7} + (\frac{- 13}{4})]$

(iv) $- 12 + (\frac{7}{12} + \frac{- 9}{11}) = (- 12 + \frac{7}{12}) + (. . . . .)$

(v) $\frac{19}{- 5} + (\frac{- 3}{11} + \frac{- 7}{8}) = {\frac{19}{- 5} + (. . . . .)} + \frac{- 7}{8}$

(vi) $\frac{- 16}{7} + . . . . . = . . . . . . + \frac{- 16}{7} = \frac{- 16}{7}$

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The expression 558637 of 6711918÷89(2311+1322) of 35 equals:

The correct option is C 512Given exp. =458457 of 7311738÷89(2511+1322) of 35=[(458×745)×(7311×873)]÷89(50+1322)×35=(78×811)÷(89×6322)×35=711÷8455=711×5584=512

The expression $\frac{5 \frac{5}{8}}{6 \frac{3}{7}}$ of $\frac{6 \frac{7}{11}}{9 \frac{1}{8}} \div \frac{8}{9} (2 \frac{3}{11} + \frac{13}{22})$ of $\frac{3}{5}$ equals: