2 3 - 4 9 of 3 5 - 1 2 3 - 1 1 4 - 1 3

( ( 2 3 + 4 9 #160; ) × 3 5 #160; ) ÷ 1 2 3 × 1 1 4 1 3 ( ( 6+4 9 #160; ) × 3 5 #160; ) ÷ 5 3 × 5 4 1 3 ( 10 9 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Importance of Brackets

2 3 + 4 9 of ...

Question

Simplify:
$(\frac{2}{3} + \frac{4}{9})$ of $\frac{3}{5} \div 1 \frac{2}{3} \times 1 \frac{1}{4} - \frac{1}{3}$

Open in App

Solution

Given:
$((\frac{2}{3} + \frac{4}{9}) \times \frac{3}{5}) \div 1 \frac{2}{3} \times 1 \frac{1}{4} - \frac{1}{3}$
Lets solve by using BODMAS rule,
$= ((\frac{6 + 4}{9}) \times \frac{3}{5}) \div \frac{5}{3} \times \frac{5}{4} - \frac{1}{3}$
$= (\frac{10}{9} \times \frac{3}{5}) \times \frac{3}{5} \times \frac{5}{4} - \frac{1}{3}$
$= \frac{2}{3} \times \frac{3}{5} \times \frac{5}{4} - \frac{1}{3}$
$= \frac{1}{2} - \frac{1}{3}$
$= \frac{1}{6}$
$∴ ((\frac{2}{3} + \frac{4}{9}) \times \frac{3}{5}) \div 1 \frac{2}{3} \times 1 \frac{1}{4} - \frac{1}{3} = \frac{1}{6}$

Suggest Corrections

Similar questions

Fill in the blanks:

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ ___

$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ ___

$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ ____ $+ (\times) \frac{- 5}{12}$

$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ ___ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

Name the property of multiplication illustrated by each of the following statements :

(i) $\frac{- 15}{8} \times \frac{- 12}{7} = \frac{- 12}{7} \times \frac{- 15}{8}$

(ii) $(\frac{- 2}{3} \times \frac{7}{9}) \times \frac{- 9}{5} = \frac{- 2}{3} \times (\frac{7}{9} \times \frac{- 9}{5})$

(iii) $\frac{- 3}{4} \times (\frac{- 3}{4} \times \frac{- 5}{6}) + (\frac{- 3}{4} \times \frac{7}{8})$

(iv) $\frac{- 16}{9} \times 1 = 1 \times \frac{- 16}{9} = \frac{- 16}{9}$

(v) $\frac{- 11}{15} \times \frac{15}{- 11} = \frac{15}{- 11} \times \frac{- 11}{15} = 1$

(vi) $\frac{- 7}{5} \times 0 = 0$

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})

Evaluate :

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

Q. Find the mean of the following

20

observations:

12, 2, 3, 3, 2, 12, 12, 1, 4, 5, 4, 4, 3, 11, 11, 2, 6, 2, 3, 6, 12

Join BYJU'S Learning Program

Simplify:(23+49) of 35÷123×114−13

Given:((23+49)×35)÷123×114−13Lets solve by using BODMAS rule,=((6+49)×35)÷53×54−13=(109×35)×35×54−13=23×35×54−13=12−13=16∴((23+49)×35)÷123×114−13=16

Simplify:
$(\frac{2}{3} + \frac{4}{9})$ of $\frac{3}{5} \div 1 \frac{2}{3} \times 1 \frac{1}{4} - \frac{1}{3}$