Comparison of Rational Numbers

Q.

Arrange the numbers in ascending order $\frac{5}{4},\frac{2}{3},\frac{6}{8},\frac{8}{5},\frac{9}{2}$

1. $\frac{9}{2}<\frac{8}{5}<\frac{5}{4}<\frac{6}{8}<\frac{2}{3}$

2. $\frac{9}{2}<\frac{2}{3}<\frac{5}{4}<\frac{8}{5}<\frac{6}{8}$

3. $\frac{5}{4}<\frac{6}{8}<\frac{2}{3}<\frac{8}{5}<\frac{9}{2}$

4. $\frac{2}{3}<\frac{6}{8}<\frac{5}{4}<\frac{8}{5}<\frac{9}{2}$

Q. Write any 3 rational numbers between –2 and 0.

Q. Question 28
Between the numbers $\frac{15}{20}$ and $\frac{35}{40}$, the greater number is ___

Q.

Find the greatest rational number among the given options.

1. $-\frac{4}{9}$

2. $-\frac{5}{12}$

3. $-\frac{7}{18}$

4. $-\frac{2}{3}$

Q. Out of the following rational numbers, find the largest and the smallest rational numbers.
$\frac{1}{2},\frac{6}{3},\frac{4}{5},\frac{3}{2},\frac{3}{4}$

1. Largest number = $\frac{4}{5}$, Smallest number = $\frac{3}{2}$
2. Largest number = $\frac{4}{5}$, Smallest number = $\frac{3}{4}$
3. Largest number = $\frac{6}{3}$, Smallest number = $\frac{3}{4}$
4. Largest number = $\frac{6}{3}$, Smallest number = $\frac{1}{2}$

Q. Question 79
$-\frac{3}{4}$ is smaller than - 2

Q. If numbers $\frac{a}{b}$ and $\frac{c}{d}$ two rational numbers such that b, d are positive and if $\frac{a}{b}$ > $\frac{c}{d}$, then :

1. $ad\ge bc$
2. ad = bc
3. ad > bc
4. ad < bc

Q. $\frac{p}{q}$ and $\frac{x}{y}$ are two rational numbers, such that 'q' and 'y' are positive, and
if $p\times y$ < $q\times x$, then ________.

1. $\frac{p}{q}$ > $\frac{x}{y}$
2. $\frac{p}{q}$ < $\frac{x}{y}$
3. $\frac{p}{q}$ = $\frac{x}{y}$
4. None of the above

Q. Arrange the rational numbers$\frac{-7}{10},\frac{5}{-8},\frac{2}{-3},\frac{-1}{4},\frac{-3}{5}$ in ascending order.

Q. Question 38
$\frac{-5}{7}$ is ___ than - 3

Q. Which of the following correctly depicts three rational numbers between $\frac{1}{5}$ and $\frac{3}{4}?$

1. 
2. 

Q. Question 27
The equivalent rational number of $\frac{7}{9}$, whose denominator is 45 is ___.

Q.

Fill in the blank with correct symbol $>$, $<$ or $=$: $\left(\frac{-9}{7}\right)\_\_\_\_\_\_\left(\frac{4}{-7}\right)$

Q.

Compare the rational numbers and choose the correct option.

$\frac{39}{26}$ ___$\frac{6}{4}$

1. >

2. <

3. =

4. None of the above

Q. Question 38
$\frac{-5}{7}$ is ___ than - 3

Q. Question 136
Write the following rational numbers in the descending order.
$\frac{8}{7},\frac{-9}{8},\frac{-3}{2},0,\frac{2}{5}$

Q. Select the rational number(s) between $\frac{4}{6}$ and $\frac{19}{24}$ from the following:

Q.

Find the difference between the Rational numbers B and A as shown on the number line.

Q.

Fill in the boxes with the symbols $=,$$>$ or $<$.

$\frac{4}{9}$$\square$$\frac{17}{19}$

Q. The smallest number among $-\frac{2}{3}$, $-\frac{9}{6}$, $-\frac{5}{2}$ and $-\frac{3}{4}$ is:
$\left[2\right]$

Q. Question 79
$-\frac{3}{4}$ is smaller than - 2

Q. s it compulsory that p/q in rational number are always in their simplest form or least term ?

Q.

Arrange the following fractions in descending order

$\frac{5}{9},\frac{1}{4},\frac{17}{18},\frac{11}{12}$

Q. Solve: $\frac{1}{3x}-\frac{3}{7x}=8$

Q. $\frac{p}{q}$ and $\frac{x}{y}$ are two rational numbers, such that 'q' and 'y' are positive, and
if $p\times y$ < $q\times x$, then ________.

1. None of the above
2. $\frac{p}{q}<\frac{x}{y}$
3. $\frac{p}{q}>\frac{x}{y}$
4. $\frac{p}{q}=\frac{x}{y}$

Q. Which of the following is a negative rational number:

1. $\frac{-3}{-5}$
2. $\frac{-15}{25}$
3. 0
4. $\frac{3}{5}$

Q. Division of $\frac{11}{24}$ by $\frac{-5}{8}$ gives

1. $\frac{-11}{15}$
2. $\frac{-13}{15}$
3. $\frac{-12}{15}$
4. None of the above

Q.

In each of the following cases, write the rational number whose numerator and denominator are respectively as under:

$25+15$ and $81÷40$

Q.

Which of the following is a rational number equal to $\frac{4}{7}$ with 16 as the numerator?

1. $\frac{16}{21}$

2. $\frac{16}{28}$

3. $\frac{16}{15}$

4. $\frac{16}{20}$

Q. Solve it :-
$3\frac{1}{8}+\frac{5}{12}+\left(\frac{-1}{9}\right)$