Question

solve and explain briefly solve fast​

Answer 1

1.  दिए गए प्रश्न में हमें दी गई संख्याओं की तुलना करने की आवश्यकता है।

(In the given question we need to compare the numbers given.)

(i) $\frac{7}{8}$ और $\frac{3}{5}$

LCM of denominators = 40

$\frac{7*5}{8*5}=\frac{35}{40}$

$\frac{3*8}{5*8} =\frac{24}{40}$

∴ $\frac{35}{40}$ > $\frac{24}{40}$

(ii) $\frac{12}{15}$ और $\frac{11}{16}$

LCM of denominators = 240

$\frac{12*16}{15*16} =\frac{192}{240}$

$\frac{11*15}{16*15}=\frac{165}{240}$

∴ $\frac{192}{240}$ > $\frac{165}{240}$

(iii) $\frac{8}{9}$ और $\frac{6}{7}$

LCM of denominators = 63

$\frac{8*7}{9*7} =\frac{56}{63}$

$\frac{6*9}{7*9}=\frac{54}{63}$

∴ $\frac{56}{63}$ > $\frac{54}{63}$

2.  प्रश्न में हमें आरोही क्रम में संख्याओं को व्यवस्थित करने की आवश्यकता है।

(In the question we need to arrange the numbers in ascending order)

(i) $\frac{2}{5}, \frac{3}{4} ,\frac{7}{9} ,\frac{5}{12} ,\frac{8}{11}$

LCM of denominators = 1980

$\frac{2*396}{5*396} =\frac{792}{1980}$

$\frac{3*495}{4*495} = \frac{1485}{1980}$

$\frac{7*220}{9*220} =\frac{1540}{1980}$

$\frac{5*165}{12*165} =\frac{825}{1980}$

$\frac{8*180}{11*180}=\frac{1440}{1980}$

∴ $\frac{792}{1980}<\frac{825}{1980} <\frac{1440}{1980} <\frac{1485}{1980} <\frac{1540}{1980}$

∴ $\frac{2}{5}<\frac{5}{12}<\frac{8}{11}<\frac{3}{4}<\frac{7}{9}$

(ii) (Complete question isn't mentioned so therefore I didn't solve it.)