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Sum of Consecutive Numbers (Not Starting from 1)

simplify : (1...

Question

simplify : (1) 15/85/2+4/25(6/11)
(2) 5/312/424/55/2
=multiplication

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Solution

Answer :

Simplify :

1 ) $\frac{15}{8} \times \frac{5}{2} + \frac{4}{25} \times \frac{6}{11}$ , So

$\Rightarrow \frac{75}{16} + \frac{24}{275} \Rightarrow \frac{20625}{4400} + \frac{384}{4400} \Rightarrow \frac{20625 + 384}{4400} \Rightarrow \frac{21009}{4400} (A n s)$

2 ) $\frac{5}{3} \times \frac{12}{4} \times \frac{24}{5} \times \frac{5}{2}$ , So

$\Rightarrow \frac{5}{3} \times 3 \times \frac{12}{5} \times \frac{5}{1} \Rightarrow 5 \times 12 \Rightarrow 60 (A n s)$

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Similar questions

Simplify:

(1) $2 + (- 4) - (+ 3)$

(2) $- 5 + 4 - (- 2)$

(3) $10 + (- 5) - (- 4)$

(4) $12 - (+ 6) + (- 3)$

(5) $- 15 + (- 4) - (+ 3)$

\frac{11}{12} \div (\frac{5}{9} \times \frac{18}{25})

(2 \frac{1}{2} \times \frac{8}{10}) \div (1 \frac{1}{2} + \frac{5}{8})

\frac{15}{16}

(\frac{5}{6} - \frac{1}{2}) \div \frac{10}{11}

\frac{9}{8} \div \frac{3}{5}

(\frac{3}{4} + \frac{3}{5})

\frac{2}{5} \div {\frac{1}{5} o f [\frac{3}{4} - \frac{1}{2}] - 1}

(1 \frac{3}{4} \times 3 \frac{1}{7}) - (4 \frac{3}{8} \div 5 \frac{3}{5})

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

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

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

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

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