Find the value of 3-5- - 35-24-10-1 -55-8-55-455-455-8

The correct option is D 55/83/5× ( 35/24+10/1 ) nbsp;= ( 3/5×35/24 )+ ( 3/5×10/1 ) [using distributive property of multiplication over addition] nbsp; = ( ...

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Standard VII

Mathematics

Properties of Rational Numbers

Find the valu...

Question

Find the value of
$\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$

\frac{- 55}{8}

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\frac{- 55}{4}

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\frac{55}{8}

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\frac{55}{4}

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Solution

The correct option is D $\frac{55}{8}$
$\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1}) = (\frac{3}{5} \times \frac{35}{24}) + (\frac{3}{5} \times \frac{10}{1})$
[using distributive property of multiplication over addition]
$= (\frac{7}{8}) + (6) = 6 \frac{7}{8} = \frac{55}{8}$

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Similar questions

Find the mean of the following data, using step-deviation method:
$\begin{matrix} Class & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 Frequency & 6 & 10 & 16 & 15 & 24 & 8 & 7 \end{matrix}$

Find the mean of the following data, using step-deviation method.

Class	5−15	15−25	25−35	35−45	45−55	55−65	65−75
Frequency	6	10	16	15	24	8	7

Q. Find the mean, using direct method:

Class	25-35	35-45	45-55	55-65	65-75
Frequency	6	10	8	12	4

Q. What is the value of

(\frac{33}{16} \times \frac{24}{55} \times \frac{8}{9} - \frac{9}{5}) ?

Q. Find the mean of the following frequency distribution:

Class	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$	$65 - 75$
Frequency	$6$	$10$	$8$	$12$	$4$

Find the value of 35×(3524+101)

The correct option is D 55835×(3524+101)=(35×3524)+(35×101) [using distributive property of multiplication over addition] =(78)+(6)=678=558

Find the value of
$\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1})$

The correct option is D $\frac{55}{8}$
$\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1}) = (\frac{3}{5} \times \frac{35}{24}) + (\frac{3}{5} \times \frac{10}{1})$
[using distributive property of multiplication over addition]
$= (\frac{7}{8}) + (6) = 6 \frac{7}{8} = \frac{55}{8}$