Arrange the following fractions in ascending order: 1 2 , 3 4 , 5 6 and 7 8

The given fractions are 1 2 , 3 4 , 5 6 and 7 8 . 2 2 , 4 , 6 , 8 2 1 , 2 , 3 , 4 1 , 1 , 3 , 2 L . C . M . of 2 , 4 , 6 and 8 = ( 2 × 2 × 2 × 3 ) = 24 We convert each of the given fractions into an equivalent fraction with denominator 24 . So, 1 2 = 1 × 12 2 × 12 = 12 24 ; 3 4 = 3 × 6 4 × 6 = 18 24 5 6 = 5 × 4 6 × 4 = 20 24 ; 7 8 = 7 × 3 8 × 3 = 21 24 Clearly, 12 24 < 18 24 < 20 24 < 21 24 ∴ 1 2 < 3 4 < 5 6 < 7 8 Hence, the given fractions can be arranged in the ascending order as follows: 1 2 , 3 4 , 5 6 , 7 8

Compare the fractions given below: 4 9 , 5 6

Given, 4 9 and 5 6 3 9 , 6 2 , 3 L . C . M . of 9 and 6 = ( 3 × 3 × 2 ) = 18 Now, we convert 4 9 and 5 6 into equivalent fractions having 18 as the denominator. So, 4 9 = 4 × 2 9 × 2 = 8 18 and 5 6 = 5 × 3 6 × 3 = 15 18 4 9 4 9 Clearly, 8 18 < 15 18 Hence, 4 9 < 5 6

Arrange the following fractions in ascending order: 3 4 , 7 8 , 11 16 and 23 32

The given fractions are 3 4 , 7 8 , 11 16 and 23 32 . 2 4 , 8 , 16 , 32 2 2 , 4 , 8 , 16 2 1 , 2 , 4 , 8 2 1 , 1 , 2 , 4 1 , 1 , 1 , 2 L . C . M . of 4 , 8 , 16 and 32 = ( 2 × 2 × 2 × 2 × 2 ) = 32 So, we convert each of the fractions whose denominator is not equal to 32 into an equivalent fraction with denominator 32 . Now, we have: 3 4 = 3 × 8 4 × 8 = 24 32 ; 7 8 = 7 × 4 8 × 4 = 28 32 ; 11 16 = 11 × 2 16 × 2 = 22 32 Clearly, 22 32 < 23 32 < 24 32 < 28 32 ∴ 11 16 < 23 32 < 3 4 < 7 8 Hence, the given fractions can be arranged in the ascending order as follows: 11 16 , 23 32 , 3 4 , 7 8

Arrange the fractions in descending order: 7 9 , 5 12 , 11 18 and 17 36

The given fractions are 7 9 , 5 12 , 11 18 and 17 36 . 3 9 , 12 , 18 , 36 3 3 , 4 , 6 , 12 2 1 , 4 , 2 , 2 1 , 2 , 1 , 1 L . C . M . of 9 , 12 , 18 and 36 = 3 × 3 × 2 × 2 = 36 We convert each of the fractions whose denominator is not equal to 36 into an equivalent fraction with denominator 36 . Thus, 7 9 = 7 × 4 9 × 4 = 28 36 ; 5 12 = 5 × 3 12 × 3 = 15 36 ; 11 18 = 11 × 2 18 × 2 = 22 36 Clearly, 28 36 > 22 36 > 17 36 > 15 36 ∴ 7 9 > 11 18 > 17 36 > 5 12 Hence, the given fractions can be arranged in the descending order as follows: 7 9 , 11 18 , 17 36 , 5 12

Make five more pairs like 3 5 _ _ _ 4 5 and put appropriate signs ‘ < ’ or ‘ > ’ , ‘ = ’ .

(i) 9 10 _ _ _ 6 10 Here, we see that the denominator is same. So, the fraction with larger numerator is greater. Therefore, 9 10 > 6 10 . (ii) 1 3 _ _ _ 1 6 Here, we see that the denominators are different. So, we have to cross multiply. 1 3 _ _ _ 1 6 1 × 6 _ _ _ 1 × 3 6 _ _ _ 3 As 6 is greater than 3 , 6 > 3 . Therefore, 1 3 > 1 6 . (iii) 1 8 _ _ _ 1 5 Here, we see that the denominators are different. So, we have to cross multiply. 1 8 _ _ _ 1 5 1 × 5 _ _ _ 1 × 8 5 _ _ _ 8 As 5 is lesser than 8 , 5 < 8 Therefore, L.H.S. is lesser. Hence, 1 8 < 1 5 . (iv) 7 8 _ _ _ 11 8 Here, we see that the denominator is same. So, the fraction with larger numerator is greater. Therefore, 7 8 < 11 8 . (v) 11 13 _ _ _ 9 13 Here, we see that the denominator is same. So, the fraction with larger numerator is greater. Therefore, 11 13 > 9 13 .

Compare the fractions given below: 3 8 , 5 6

Given, 3 8 , 5 6 Let a b and c d are two fractions. So, if a d > b c then a b > c d , if a d < b c then a b < c d and if a d = b c then a b = c d . By cross multiplying: 3 × 6 = 18 and 5 × 8 = 40 Clearly, 18 < 40 Therefore, 3 8 < 5 6

Compare the fractions given below: 3 4 , 5 6

Given, 3 4 and 5 6 Let a b and c d are two fractions. So, if a d > b c then a b > c d , if a d < b c then a b < c d and if a d = b c then a b = c d . By cross multiplying: 3 × 6 = 18 and 4 × 5 = 20 Clearly, 18 < 20 ∴ 3 4 < 5 6

Compare the fractions given below: 4 5 , 5 7

Given, 4 5 , 5 7 Let a b and c d are two fractions. So, if a d > b c then a b > c d , if a d < b c then a b < c d and if a d = b c then a b = c d . By cross multiplying: 5 × 5 = 25 and 4 × 7 = 28 Clearly, 28 > 25 ∴ 4 5 > 5 7 .

Arrange the following fractions in descending order: 3 4 , 5 8 , 11 12 and 17 24

The given fractions are 3 4 , 5 8 , 11 12 and 17 24 . 2 4 , 8 , 12 , 24 2 2 , 4 , 6 , 12 2 1 , 2 , 3 , 6 3 1 , 1 , 3 , 3 1 , 1 , 1 , 1 L . C . M . of 4 , 8 , 12 and 24 = ( 2 × 2 × 2 × 3 ) = 24 So, we convert each of the fractions whose denominator is not equal to 24 into an equivalent fraction with denominator 24 . Thus, we have: 3 4 = 3 × 6 4 × 6 = 18 24 ; 5 8 = 5 × 3 8 × 3 = 15 24 ; 11 12 = 11 × 2 12 × 2 = 22 24 Clearly, 22 24 > 18 24 > 17 24 > 15 24 ∴ 11 12 > 3 4 > 17 24 > 5 8 Hence, the given fractions can be arranged in the descending order as follows: 11 12 , 3 4 , 17 24 , 5 8

Ila read 25 pages of a book containing 100 pages. Lalita read 2 5 of the same book. Who read less?

Given, Lalita read 2 5 t h part of book. Ila reads 25 pages out of 100 pages, Fraction of the pages Ila reads = 25 100 = 25 ÷ 5 100 ÷ 5 = 5 ÷ 5 20 ÷ 5 = 1 4 So, Ila read 1 4 th part of the book. We have to find out who read less, Since the denominators are different, we need to make the denominators same by finding their common denominator. L.C.M of 4 , 5 = 2 × 2 × 5 = 20 Now, 1 4 = 1 × 5 4 × 5 = 5 20 2 5 = 2 × 4 5 × 4 = 8 20 Since 5 20 < 8 20 Therefore, 1 4 < 2 5 Hence, Ila read less than Lalita.

Compare the fractions given below: 6 13 , 3 4

Given, 6 13 and 3 4 Let a b and c d are two fractions. So, if a d > b c then a b > c d , if a d < b c then a b < c d and if a d = b c then a b = c d . By cross multiplying: 6 × 4 = 24 and 13 × 3 = 39 Clearly, 24 < 39 ∴ 6 13 < 3 4

Compare the fractions given below: 5 8 , 7 12

Given, 5 8 and 7 12 Let a b and c d are two fractions. So, if a d > b c then a b > c d , if a d < b c then a b < c d and if a d = b c then a b = c d . By cross multiplying: 5 × 12 = 60 and 8 × 7 = 56 Clearly, 60 > 56 ∴ 5 8 > 7 12

HARD

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See the following fractions and put the suitable sign in the box ( $<, >, =$ )

$\frac{1}{4}$ $\frac{3}{4}$

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Important Questions on Fractions

EASY

Mathematics>Arithmetic>Fractions>Comparing Fractions

Which of the following statement(s) is/are true?

$I . (\frac{4}{9}) > (\frac{4}{7}) I I . (\frac{5}{7}) > (\frac{4}{9})$

EASY

Mathematics>Arithmetic>Fractions>Comparing Fractions

Which is the largest fraction?

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Which among the following is true for the given numbers?

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

A man gave

{\frac{1}{4}}^{t h}

part of his property to his daughter,

{\frac{1}{2}}^{t h}

part to his son and then donated

{\frac{1}{5}}^{t h}

part. Thus, how much portion of his property did he give away?

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Which of the following alternatives is correct for the given number series?

(A) $\frac{2}{7} < \frac{21}{39} < \frac{12}{17} < \frac{29}{47}$

(B) $\frac{21}{39} < \frac{29}{47} < \frac{2}{7} < \frac{12}{17}$

(D) $\frac{21}{39} < \frac{12}{17} < \frac{2}{7} < \frac{29}{47}$

EASY

Mathematics>Arithmetic>Fractions>Comparing Fractions

Which of the following fractions is the highest of all?

1. $\frac{5}{4}$

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

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

4. $\frac{6}{5}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Arrange the following fractions in ascending order:

$\frac{1}{2}, \frac{3}{4}, \frac{5}{6}$ and $\frac{7}{8}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Compare the fractions given below:

$\frac{4}{9}, \frac{5}{6}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Arrange the following fractions in ascending order:

$\frac{3}{4}, \frac{7}{8}, \frac{11}{16}$ and $\frac{23}{32}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Arrange the fractions in descending order:

$\frac{7}{9}, \frac{5}{12}, \frac{11}{18}$ and $\frac{17}{36}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Make five more pairs like

\frac{3}{5}___\frac{4}{5}

and put appropriate signs

(‘ < ’ or ‘ > ’, ‘ = ’)

EASY

Mathematics>Arithmetic>Fractions>Comparing Fractions

Find the answer to the following. Write and indicate how you solved them.

Is $\frac{5}{9}$ equal to $\frac{4}{5}$ ?

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Compare the fractions given below:

$\frac{3}{8}, \frac{5}{6}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Compare the fractions given below:

$\frac{3}{4}, \frac{5}{6}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Compare the fractions given below:

$\frac{4}{5}, \frac{5}{7}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Arrange the following fractions in descending order:

$\frac{3}{4}, \frac{5}{8}, \frac{11}{12}$ and $\frac{17}{24}$

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Ila read

25

pages of a book containing

100

pages. Lalita read

\frac{2}{5}

of the same book. Who read less?

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Compare the fractions given below:

$\frac{6}{13}, \frac{3}{4}$

HARD

Mathematics>Arithmetic>Fractions>Comparing Fractions

Ritu ate

\frac{3}{5}

part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

MEDIUM

Mathematics>Arithmetic>Fractions>Comparing Fractions

Compare the fractions given below:

$\frac{5}{8}, \frac{7}{12}$

See the following fractions and put the suitable sign in the box (<, >, =) 14 34

Important Questions on Fractions

Learn and Prepare for any exam you want !

See the following fractions and put the suitable sign in the box ( $<, >, =$ )

$\frac{1}{4}$ $\frac{3}{4}$