Calculate - -5-7 - 8-21- 7-3 - 2-15

( 5/7 + 8/21)× (7/3 ÷ 2/15) = nbsp;( 5× 3/7× 3 nbsp;+ 8/21)× (7/3× nbsp;15/2) (Since LCM of 7 and 21 is 21) = ( 15/21 + 8/21)× (7/3× nbsp;15/2) = 7/ ...

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Byju's Answer

Standard IX

Mathematics

Addition of Unlike Fractions

Calculate : -...

Question

Calculate : $(\frac{- 5}{7} + \frac{8}{21}) \times (\frac{7}{3} \div \frac{2}{15})$

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Solution

$(\frac{- 5}{7} + \frac{8}{21}) \times (\frac{7}{3} \div \frac{2}{15})$

= $(\frac{- 5 \times 3}{7 \times 3} + \frac{8}{21}) \times (\frac{7}{3} \times \frac{15}{2})$ (Since LCM of 7 and 21 is 21)

= $(\frac{- 15}{21} + \frac{8}{21}) \times (\frac{7}{3} \times \frac{15}{2})$

= $\frac{- 7}{21} \times \frac{7}{3} \times \frac{15}{2}$

= $\frac{- 35}{6}$

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Solve:

(a) (b)

(e) (f)

(g) (h)

(i)

Q. If 5 + 3 = 15, 5 – 3 = 8 and 5 ÷ 3 = 2, then 7 + 7 – 7 ÷ 7 = ?.

यदि 5 + 3 = 15, 5 – 3 = 8 तथा 5 ÷ 3 = 2, तब 7 + 7 – 7 ÷ 7 = ?

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Q. Calculate Mean, Standard Deviation and Variance:

Variable	:	0-5	5-10	10-15	15-20	20-25	25-30	30-35	35-40
Frequency	:	2	5	7	13	21	16	8	3

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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Calculate : (−57+821)×(73÷215)

(−57+821)×(73÷215) = (−5×37×3+821)×(73×152) (Since LCM of 7 and 21 is 21) = (−1521 +821)×(73×152) = −721×73×152 = −356

Calculate : $(\frac{- 5}{7} + \frac{8}{21}) \times (\frac{7}{3} \div \frac{2}{15})$