Divide the sum of 512 and -1724 by the product of 25 and 74- What is the result-

The correct option is B 512 Sum of 512 and 1724 = 10 1724 = 724.........(1) #160;Product of 25 and 74 = 2×75×4 = 1420........( ...

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Byju's Answer

Standard VI

Mathematics

Addition of Fractions

Divide the su...

Question

Divide the sum of $\frac{5}{12}$ and $\frac{- 17}{24}$ by the product of $\frac{2}{5}$ and $\frac{7}{4}$ . What is the result?

\frac{- 8}{37}

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\frac{- 5}{12}

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\frac{6}{31}

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\frac{3}{12}

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Solution

The correct option is B $\frac{- 5}{12}$
Sum of $\frac{5}{12}$ and $\frac{- 17}{24} = \frac{10 - 17}{24} = \frac{- 7}{24} . . . . . . . . . (1)$

Product of $\frac{2}{5}$ and $\frac{7}{4} = \frac{2 \times 7}{5 \times 4} = \frac{14}{20} . . . . . . . . (2)$

$∴$ Dividing $(1)$ by $(2)$ we get $\frac{- \frac{7}{24}}{\frac{14}{20}} = \frac{- 5}{12}$

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Similar questions

Divide the sum of $\frac{13}{5}$ and $\frac{- 12}{7}$ by the product of $\frac{- 31}{7}$ and $\frac{1}{- 2}$

Q. Divide the sum of

\frac{12}{5}

and

\frac{13}{7}

by the product of

\frac{- 4}{7}

and

\frac{- 1}{2} .

The result obtained is :

Divide the sum of $\frac{5}{8}$ and $\frac{- 11}{12}$ by the difference of $\frac{3}{7}$ and $\frac{5}{14}$ .

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 :

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

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Divide the sum of 512 and −1724 by the product of 25 and 74. What is the result?

The correct option is B −512Sum of 512 and −1724=10−1724=−724.........(1) Product of 25 and 74=2×75×4=1420........(2)∴ Dividing (1) by (2) we get −7241420=−512

Divide the sum of $\frac{5}{12}$ and $\frac{- 17}{24}$ by the product of $\frac{2}{5}$ and $\frac{7}{4}$ . What is the result?