The value of 59-611 - 111-39 is

The correct option is D 13 59×611 + 111×39 = 111 [309 + 39 ] ( ∵ distributive property)[Also, commutative property was used to get the ter ...

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Byju's Answer

Standard VIII

Mathematics

Distributive Property of Rational Numbers

The value of ...

Question

The value of $(\frac{5}{9} \times \frac{6}{11}) + (\frac{1}{11} \times \frac{3}{9})$ is

\frac{1}{5}

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\frac{1}{9}

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\frac{1}{11}

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\frac{1}{3}

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Solution

The correct option is D $\frac{1}{3}$
$\frac{5}{9} \times \frac{6}{11} + \frac{1}{11} \times \frac{3}{9}$

$= \frac{1}{11} [\frac{30}{9} + \frac{3}{9}]$ ( $∵$ distributive property)
[Also, commutative property was used to get the terms in line]

$= \frac{1}{11} [\frac{33}{9}]$

$= \frac{1}{3}$

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Similar questions

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})

Q. Verify the following equality

(\frac{- 3}{5} + \frac{1}{6}) + \frac{9}{10} = \frac{- 3}{5} + (\frac{1}{6} + \frac{9}{10})

The value of

$\frac{3}{4} \div 2 \frac{1}{4}$ of $\frac{2}{3} - \frac{(\frac{1}{2}) - (\frac{1}{3})}{(\frac{1}{2}) + (\frac{1}{3})} \times 3 \frac{1}{3} + \frac{5}{6}$ is

A. $\frac{29}{12}$

\frac{49}{54}

\frac{2}{3}

\frac{1}{6}

Q. The value of

(\frac{1}{4} - \frac{1}{6})

o f

(\frac{2}{3} - \frac{5}{12}) \times (\frac{5}{8} - \frac{7}{12})

Q. Solve for

x

(i)

{(\frac{11}{5})}^{- 5} \times {(\frac{11}{5})}^{- 2} = {(\frac{11}{5})}^{x - 9}

(ii)

{(\frac{2}{9})}^{2 x + 1} \div {(\frac{2}{9})}^{3} = {(\frac{2}{9})}^{x + 1}

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The value of (59×611)+(111×39) is

The correct option is D 1359×611+111×39=111[309+39] (∵ distributive property)[Also, commutative property was used to get the terms in line]=111[339]=13

The value of $(\frac{5}{9} \times \frac{6}{11}) + (\frac{1}{11} \times \frac{3}{9})$ is

The correct option is D $\frac{1}{3}$
$\frac{5}{9} \times \frac{6}{11} + \frac{1}{11} \times \frac{3}{9}$

$= \frac{1}{11} [\frac{30}{9} + \frac{3}{9}]$ ( $∵$ distributive property)
[Also, commutative property was used to get the terms in line]

$= \frac{1}{11} [\frac{33}{9}]$

$= \frac{1}{3}$