Evaluate- iv-59-6-25-2421-78

Simplifying each term nbsp; Given, 59×6 25 =5×69×25 =215 And nbsp;2421×78 =24×721×8 =33 =1 Evaluating the given expression Given, ( 59×6 25)+(2421×7 ...

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Standard VI

Mathematics

Subtraction of Fractions

Evaluate: iv-...

Question

Evaluate: $(i v) (\frac{- 5}{9} \times \frac{6}{- 25}) + (\frac{24}{21} \times \frac{7}{8})$

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Solution

Simplifying each term
Given,
$\frac{- 5}{9} \times \frac{6}{- 25}$

$= \frac{5 \times 6}{9 \times 25}$

$= \frac{2}{15}$

And $\frac{24}{21} \times \frac{7}{8}$

$= \frac{24 \times 7}{21 \times 8}$

$= \frac{3}{3}$

$= 1$

Evaluating the given expression
Given,
$(\frac{- 5}{9} \times \frac{6}{- 25}) + (\frac{24}{21} \times \frac{7}{8})$

$= \frac{2}{15} + 1$

$= \frac{2}{15} + \frac{1 \times 15}{1 \times 15}$

[ $∵ L C M$ of $1$ and $15 = 15$ ]

$= \frac{2}{15} + \frac{15}{15}$

$= \frac{2 + 15}{15}$

$= \frac{17}{15}$

$= 1 \frac{2}{15}$

Hence, the required answer is $1 \frac{2}{15}$ .

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Similar questions

Find

(i) (ii) (iii)

(iv) (v)

Q. Evaluate the following:

(i) −8 − 24 + 31 − 26 − 28 + 7 + 19 − 18 − 8 + 33
(ii) −26 −20 + 33 − (−33) + 21 + 24 − (−25) −26 − 14 − 34

Evaluate each of the following: $(i) \frac{2}{3} - \frac{3}{5} (i i) \frac{- 4}{7} - \frac{2}{- 3} (i i i) \frac{4}{7} - \frac{- 5}{- 7} (i v) - 2 - \frac{5}{9} (v) \frac{- 3}{- 8} - \frac{- 2}{7} (v i) \frac{- 4}{13} - \frac{- 5}{26} (v i i) \frac{- 5}{14} - \frac{- 2}{7} (v i i i) \frac{13}{15} - \frac{12}{25} (i x) \frac{- 6}{13} - \frac{- 7}{13} (x) \frac{7}{24} - \frac{19}{36} (x i) \frac{5}{63} - \frac{- 8}{21}$

Evaluate :
$(i) \frac{- 14}{5} \times \frac{- 6}{7} (i i) \frac{7}{6} \times \frac{- 18}{91} (i i i) \frac{- 125}{72} \times \frac{9}{- 5} (i v) \frac{- 11}{9} \times \frac{- 51}{- 44} (v) - \frac{16}{5} \times \frac{- 20}{8}$

Find each of the following products :

(i) $\frac{3}{5} \times \frac{- 7}{8}$ (ii) $\frac{- 9}{2} \times \frac{5}{4}$ (iii) $\frac{- 6}{11} \times \frac{- 5}{3}$

(iv) $\frac{- 2}{3} \times \frac{6}{7}$ (v) $\frac{- 12}{5} \times \frac{10}{- 3}$ (vi) $\frac{25}{- 9} \times \frac{3}{- 10}$

(vii) $\frac{5}{- 18} \times \frac{- 9}{20}$ (viii) $\frac{- 13}{15} \times \frac{- 25}{26}$ (ix) $\frac{16}{- 21} \times \frac{14}{5}$

(x) $\frac{- 7}{6} \times 24$ (xi) $\frac{7}{24} \times (- 48)$ (xii) $\frac{- 13}{5} \times (- 10)$

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Subtraction of Fractions

Standard VI Mathematics

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Evaluate: (iv)(−59×6−25)+(2421×78)

Simplifying each term Given, −59×6−25 =5×69×25 =215 And 2421×78 =24×721×8 =33 =1 Evaluating the given expression Given, (−59×6−25)+(2421×78) =215+1 =215+1×151×15 [∵ LCM of 1 and 15=15] =215+1515 =2+1515 =1715 =1215 Hence, the required answer is 1215.

Evaluate: $(i v) (\frac{- 5}{9} \times \frac{6}{- 25}) + (\frac{24}{21} \times \frac{7}{8})$