# Set of rational numbers

## Question 50: Compare two fractions (frac{{ – 18}}{{91}},and,frac{{ – 23}}{{114}})

Question 50: Compare two fractions (frac{{ – 18}}{{91}},and,frac{{ – 23}}{{114}}) A. (frac{{ – 18}}{{91}}>frac{{ – 23}}{{114}}) B. (frac{{ – 18}}{{91}} frac{{ – 18}}{{90}} = frac{{ – 1}}{5} = frac{{ – 23}}{{115}} > frac{{ – 23}}{{114}}\ Rightarrow frac{{ – 18}}{{91}} > frac{{ – 23}}{{114}}. end{array}) =============== Go to Source education online

## Verse 49: (frac{2}{3},frac{3}{4},frac{4}{5},frac{5}{6})

Verse 49: (frac{2}{3},frac{3}{4},frac{4}{5},frac{5}{6}) A. (begin{array}{*{20}{l}} {frac{2}{3} Go to Source education online

## Question 48: Compare two fractions (M = frac{{2004}}{{2005}} + frac{{2005}}{{2006}};N = frac{{2004 + 2005}}{ {2005 + 2006}})

Question 48: Compare two fractions (M = frac{{2004}}{{2005}} + frac{{2005}}{{2006}};N = frac{{2004 + 2005}}{ {2005 + 2006}}) A. M>WOMEN B. M frac{{2004}}{ {2005 + 2006}}}\ {frac{{2005}}{{2006}} > frac{{2005}}{{2005 + 2006}}} end{array}} right} Rightarrow frac{{2004}}{{2005}} + frac{{2005}}{{2006}} > frac{{2004}}{{2005 + 2006}} + frac{{2005}}{{ 2005 + 2006}} = frac{{2004 + 2005}}{{2005 + 2006}}\ Rightarrow M > N …

## Question 47: Compare two fractions (A = frac{{{{10}^8} + 2}}{{{{10}^8} – 1}};B = frac{{{{10) }^8}}}{{{{10}^8} – 3}})

Question 47: Compare two fractions (A = frac{{{{10}^8} + 2}}{{{{10}^8} – 1}};B = frac{{{{10) }^8}}}{{{{10}^8} – 3}}) A. A>B B. A {10^8} – 3 Rightarrow frac{3}{{{{10}^8} – 1}} Go to Source education online

## Question 46: Compare two fractions (frac{{2011}}{{2012}},and,frac{{2021}}{{2020}})

Question 46: Compare two fractions (frac{{2011}}{{2012}},and,frac{{2021}}{{2020}}) A. (frac{{2011}}{{2012}}frac{{2021}}{{2020}}) C. (frac{{2011}}{{2012}}=frac{{2021}}{{2020}}) D. Not comparable. (begin{array}{l} frac{{2011}}{{2012}} 1 Rightarrow frac{{2011}}{{ 2012}} Go to Source education online

## Question 44: Let ({rm{M}} = frac{{{{2009}^{10}} + 2}}{{{{2009}^{11}} + 2}};{rm {N}} = frac{{{{2009}^{11}} + 2}}{{{{2009}^{12}} + 2}};{rm{P}} = frac{{ {{2009}^{12}} + 2}}{{{{2009}^{13}} + 2}}\). Which of the following assertion true?

Question 44: Let ({rm{M}} = frac{{{{2009}^{10}} + 2}}{{{{2009}^{11}} + 2}};{rm {N}} = frac{{{{2009}^{11}} + 2}}{{{{2009}^{12}} + 2}};{rm{P}} = frac{{ {{2009}^{12}} + 2}}{{{{2009}^{13}} + 2}}\). Which of the following assertion true? A. P Go to Source education online

## Question 43: Let (M = frac{1}{{{2^2}}} + frac{1}{{{3^2}}} + frac{1}{{{4^2}) }} + ldots + frac{1}{{{9^2}}}). Which of the following assertion true?

Question 43: Let (M = frac{1}{{{2^2}}} + frac{1}{{{3^2}}} + frac{1}{{{4^2}) }} + ldots + frac{1}{{{9^2}}}). Which of the following assertion true? A. (M = frac{8}{9}) B. (frac{2}{5} frac{1}{{2.3}} + frac{1}{{3.4 }} + … Go to Source education online

## Question 42: Let ({rm{M}} = frac{3}{4} + frac{8}{9} + frac{{15}}{{16}} + ldots + frac {{2499}}{{2500}}). Which of the following assertion true?

Question 42: Let ({rm{M}} = frac{3}{4} + frac{8}{9} + frac{{15}}{{16}} + ldots + frac {{2499}}{{2500}}). Which of the following assertion true? A. M=49 B. M>49 C. 48 Go to Source education online

## Question 41: Let ({rm{K}} = frac{{1.4}}{{2.3}} + frac{{2.5}}{{3.4}} + frac{{3.6}}{{4.5) }} + ldots + frac{{98.101}}{{99.100}}.). Which of the following comments?

Question 41: Let ({rm{K}} = frac{{1.4}}{{2.3}} + frac{{2.5}}{{3.4}} + frac{{3.6}}{{4.5) }} + ldots + frac{{98.101}}{{99.100}}.). Which of the following comments? A. K98 C. K=97 D. 97 Go to Source education online

## Question 40: For what value of a is the rational number (x = frac{{a – 3}}{2}) a positive number?

Question 40: For what value of a is the rational number (x = frac{{a – 3}}{2}) a positive number? A. a > 3 B. a > -3 C. a > 1 D.a 0 Leftrightarrow a – 3 > 0 Leftrightarrow a > 3) =============== Go to Source education online