Find the value of 3-5- 35-24-10-1 -

The correct option is A 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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Byju's Answer

Standard VIII

Mathematics

Distributive Property 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 C $\frac{55}{8}$
$\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1}) = (\frac{3}{5} \times \frac{35}{24}) + (\frac{3}{5} \times \frac{10}{1})$
[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 class marks of classes

30 - 35, 35 - 40

and

40 - 45

in the data below:

Marks	Number of student
$30 - 35$	$5$
$35 - 40$	$8$
$40 - 45$	$15$
$45 - 50$	$20$
$50 - 55$	$5$
$55 - 60$	$4$
$60 - 65$	$4$
$65 - 70$	$2$
$70 - 75$	$3$

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

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. Find out median wage rate from the following data-set:

Wage Rate (₹)	5−15	15−25	25−35	35−45	45−55	55−65
Number of Workers	4	6	10	5	3	2

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

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Find the value of 35×(3524+101)

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