5 6 - 4 7 - 14 15 - 13 25 - 15 4 -

The correct option is D 13 15 56×47×1415×1325×154 = 56× ( 47×154×1415 ) ×1325 = ( 56× 2 ) ×1325 = 53×1325 = 133 × 5 = 1315 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication of Fractions

5 6 × 4 7 × 1...

Question

$\frac{5}{6} \times \frac{4}{7} \times \frac{14}{15} \times \frac{13}{25} \times \frac{15}{4} =$

\frac{13}{15}

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\frac{15}{13}

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\frac{4}{17}

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\frac{17}{4}

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Solution

The correct option is D $\frac{13}{15}$
$\frac{5}{6} \times \frac{4}{7} \times \frac{14}{15} \times \frac{13}{25} \times \frac{15}{4}$
$= \frac{5}{6} \times (\frac{4}{7} \times \frac{15}{4} \times \frac{14}{15}) \times \frac{13}{25}$
$= (\frac{5}{6} \times 2) \times \frac{13}{25}$
$= \frac{5}{3} \times \frac{13}{25} = \frac{13}{3 \times 5} = \frac{13}{15}$

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Similar questions

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Q. The average frequency is

18

. Find the missing frequency

f

Class Interval	Frequency
$11 - 13$	$7$
$13 - 15$	$6$
$15 - 17$	$9$
$17 - 19$	$13$
$19 - 21$	$f$
$21 - 23$	$5$
$23 - 25$	$4$

Fill in the blanks to make the following statements true:

(i) (− 5) + (− 8) = (− 8) + (…)

(ii) − 53 + … = − 53

(iii) 17 + … = 0

(iv) [13 + (− 12)] + (…) = 13 + [(− 12) + (− 7)]

(v) (− 4) + [15 + (− 3)] = [(− 4) + 15] +

Q. The mean of the following distribution is

18

. Find the frequency f of the class

19 - 21

Class	$11 - 13$	$13 - 15$	$15 - 17$	$17 - 19$	$19 - 21$	$21 - 23$	$23 - 25$
Frequency	$3$	$6$	$9$	$13$	$f$	$5$	$4$

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

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56×47×1415×1325×154=

The correct option is D 131556×47×1415×1325×154=56×(47×154×1415)×1325=(56×2)×1325=53×1325=133×5=1315

$\frac{5}{6} \times \frac{4}{7} \times \frac{14}{15} \times \frac{13}{25} \times \frac{15}{4} =$