32+56+ 45=3 #215;32 #215;3+56+ 45=96+56+ 45=9+56+ 45=146+ 45=14 #215;56 #215;5+ 4 #215;65 #215;6=7030+ 2430=70+ 2430=70 2430=4630=2315 ...

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Byju's Answer

Standard VII

Mathematics

Properties of Multiplication of Integers

Simplify:1 32...

Question

Simplify:

(1) $(\frac{3}{2} + \frac{5}{6}) + \frac{- 4}{5}$

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Solution

$(\frac{3}{2} + \frac{5}{6}) + \frac{- 4}{5} = (\frac{3 \times 3}{2 \times 3} + \frac{5}{6}) + \frac{- 4}{5} = (\frac{9}{6} + \frac{5}{6}) + \frac{- 4}{5} = (\frac{9 + 5}{6}) + \frac{- 4}{5} = \frac{14}{6} + \frac{- 4}{5} = \frac{14 \times 5}{6 \times 5} + \frac{- 4 \times 6}{5 \times 6} = \frac{70}{30} + \frac{- 24}{30} = \frac{70 + (- 24)}{30} = \frac{70 - 24}{30} = \frac{46}{30} = \frac{23}{15}$

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Similar questions

Q. Simplify:

(2)

\frac{3}{2} + (\frac{5}{6} + \frac{- 4}{5})

Q. Simplify:

(12)

\frac{3}{2} \div \frac{- 5}{6}

Q. Simplify and obtain a numerical value

{(32)}^{- \frac{4}{5}}

Simplify : [3 MARKS]

$\frac{3^{8} \times 4^{5} \times 3^{2} \times 5^{4} \times 7^{5}}{3^{9} \times 4^{4} \times 7^{5}}$

Simplify
(i) $(\frac{81}{49})^{\frac{- 3}{2}}$
(ii) $(14641)^{0.25}$
(iii) $(\frac{32}{243})^{\frac{- 4}{5}}$
(iv) $(\frac{7776}{243})^{\frac{- 3}{5}}$

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Simplify: (1) 32+56+-45

32+56+-45=3×32×3+56+-45=96+56+-45=9+56+-45=146+-45=14×56×5+-4×65×6=7030+-2430=70+-2430=70-2430=4630=2315

Simplify:

(1) $(\frac{3}{2} + \frac{5}{6}) + \frac{- 4}{5}$