Comparison of Fractions by Cross Multiplication

Q.

Arrange the following in descending order:

$\frac{1}{5},\frac{3}{7},\frac{7}{10}$

Q.

Question 4

The ascending arrangement of $\frac{2}{3},\frac{6}{7},\frac{13}{21}$ is

Q.

Arrange the following rational numbers in ascending order: $\frac{12}{16}$, $\frac{4}{9}$ and $\frac{6}{10}$

1. $\frac{6}{10}$, $\frac{4}{9}$, $\frac{12}{16}$

2. $\frac{4}{9}$, $\frac{6}{10}$, $\frac{12}{16}$

3. $\frac{12}{16}$, $\frac{6}{10}$, $\frac{4}{9}$

4. $\frac{12}{16}$, $\frac{4}{9}$, $\frac{6}{10}$

Q.

Out of the following fractions, Find the smallest and the greatest fractions.
$\frac{1}{2},\frac{6}{3},\frac{4}{5},\frac{3}{2},\frac{3}{4}$

1. Greatest fraction = $\frac{4}{5}$, Smallest fraction = $\frac{3}{4}$

2. Greatest fraction = $\frac{6}{3}$, Smallest fraction = $\frac{1}{2}$

3. Greatest fraction = $\frac{4}{5}$, Smallest fraction = $\frac{3}{2}$

4. Greatest fraction = $\frac{6}{3}$, Smallest fraction = $\frac{3}{4}$

Q.

Find the smaller of the fraction $\frac{3}{5}$ and $\frac{8}{13}$

1. $\frac{3}{5}$

2. $\frac{8}{13}$

3. Both are equal

4. Cannot be determined

Q.

Given that a, b, c, d, p and q are natural numbers such that a < b and d < c and q < p and given that $\frac{a}{b}\times \frac{d}{c}=\frac{q}{p}$ holds true, Which of the following is/are true?

1. $q<p$

2. $q>p$

3. $\frac{a}{b}>\frac{q}{p}and\frac{d}{c}>\frac{q}{p}$

4. $\frac{a}{b}<\frac{q}{p}and\frac{d}{c}<\frac{q}{p}$

Q.

A and B represent two fractions. The following information is known:

A < 1

B > 1

When A and B are multiplied, the result is a new fraction C.

Choose the correct option(s):

1. C > A

2. C > B

3. C < B

4. C < A

Q.

Given that a, b, c, d, p and q are natural numbers such that a < b and d < c. It is also given that the following result holds true:

$\frac{a}{b}\times \frac{d}{c}=\frac{q}{p}$

Choose the correct option(s):

1. 

2. 

3. q > p

4. q < p

Q.

Replace $\star$by symbols $>,<or=$ to make each statement true :

$\frac{12}{21}\star \frac{9}{14}$

Q.

If in a zoo, out of 150 birds, 45 birds are migratory and $\frac{3}{5}$ of the total birds are of Indian origin, then which kind of birds are more in number?

1. Migratory birds

2. Indian birds

3. Both are same in number

4. Data insufficient

Q.

The product of two improper fractions is greater than either of the fractions.

1. True

2. False

Q.

Choose the right option to be filled in the blank: (5/3) ___ (7/3).

1. <

2. >

3. =

4. >/=