Identify as Proper (P), Improper (I), or Mixed (M) fraction. 18 17

Identify the fraction 18 17 is a proper or improper or mixed. The fraction in which numerator is greater than the denominator, it is called as an improper fraction. Numerator = 18 Denominator = 17 We have, 18 > 17 Therefore, 18 17 is an improper fraction.

Which of the following are improper fractions? 3 2 , 5 6 , 9 4 , 8 8 , 3 , 27 16 , 23 31 , 19 18 , 10 13 , 26 26

Given, 3 2 , 5 6 , 9 4 , 8 8 , 3 1 , 27 16 , 23 31 , 19 18 , 10 13 , 26 26 . A fraction whose numerator is greater than or equal to its denominator is called an improper fraction. We see that the fractions 3 2 , 9 4 , 8 8 , 27 16 , 19 18 and 26 26 have their numerator either greater than or equal to its denominator. Hence, 3 2 , 9 4 , 8 8 , 27 16 , 19 18 and 26 26 are improper fractions.

Which of the following are proper fractions? 1 2 , 3 5 , 10 7 , 7 4 , 2 , 15 8 , 16 16 , 10 11 , 23 10

Given, 1 2 , 3 5 , 10 7 , 7 4 , 2 , 15 8 , 16 16 , 10 11 , 23 10 A fraction whose numerator is less than its denominator is called a proper fraction. Therefore, looking at all the given fractions, we see that the fractions 1 2 , 3 5 and 10 11 have their numerators less than their denominators. Hence, the required proper fractions are 1 2 , 3 5 and 10 11 .

Shade the boxes that have proper fractions. 7 3 4 7 7 11 3 4 2 3 9 8 11 19 12 7 13 9 8 13 4 3 1 2 6 15 2 9 9 20 9 5 3 10 7 4 8 2 13 7 11 10 4 5 16 13 14 9 11 2 8 7 5 8 19 13 23 16 9 5

Given, We need to shade the boxes that have proper fractions. Proper fraction is fraction where numerator is less than the denominator. Observe the number and analyse if the numerator is less than the denominator. If it is a proper fraction, then colour the box. Therefore, the representation of proper fraction is shown above.

Draw a number line and locate the following points. 1 4 , 1 2 , 3 4 , 4 4

Given, 1 4 , 1 2 , 3 4 and 4 4 . Here, all the fractions have same denominator 4 except 1 2 . So, 1 2 = 1 × 2 2 × 2 = 2 4 and 4 4 = 1 . Now, the fractions are 1 4 , 2 4 , 3 4 , 1 . Draw a number line. Mark 0 as the starting point and 1 as the ending point. Then, divide 0 to 1 into four equal parts, where each part is equal to 1 4 . So, P , Q , R and A represent 1 4 , 2 4 , 3 4 and 1 or 4 4 on the number line below.

MEDIUM

Earn 100

Is the given fraction proper or improper or mixed fraction?

$\frac{11}{8}$

Important Questions on Operations on Fractions

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

What should come in place of the question mark (?) in the following question:

$18 \frac{2}{3} - 7 \frac{1}{4} = ? + 1 \frac{1}{2}$

MEDIUM

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

The numerator of a fraction is decreased by

25 %

and the denominator is increased by

250 %

. If the resultant fraction is

\frac{6}{5}

, What is the original fraction?

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Identify as Proper (P), Improper (I), or Mixed (M) fraction.

$\frac{18}{17}$

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

A improper fraction with denominator

9

is:

HARD

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

70, 040, 000, 000

can be written in standard form

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Identify as Proper (P), Improper (I), or Mixed (M) fraction.

$6 \frac{1}{2}$

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Which of the following are improper fractions?

$\frac{3}{2}, \frac{5}{6}, \frac{9}{4}, \frac{8}{8}, 3, \frac{27}{16}, \frac{23}{31}, \frac{19}{18}, \frac{10}{13}, \frac{26}{26}$

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Identify as Proper (P), Improper (I), or Mixed (M) fraction.

$\frac{7}{12}$

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

What should come in place of the question mark (?) in the following questions?

4 \frac{1}{5} \times 4 \frac{2}{7} \div 3 \frac{1}{3} = ?

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

\frac{17}{4} = 4 \frac{k}{4}

, then the value of

k

is _____.

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Which of the following are proper fractions?

$\frac{1}{2}, \frac{3}{5}, \frac{10}{7}, \frac{7}{4}, 2, \frac{15}{8}, \frac{16}{16}, \frac{10}{11}, \frac{23}{10}$

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Identify as Proper (P), Improper (I), or Mixed (M) fraction.

$\frac{14}{5}$

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Identify as Proper (P), Improper (I), or Mixed (M) fraction.

$8 \frac{2}{7}$

EASY

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Write six improper fractions with denominator

5

MEDIUM

Mathematics>Arithmetic>Operations on Fractions>Fractions and its Types

Shade the boxes that have proper fractions.

$\frac{7}{3}$	$\frac{4}{7}$	$\frac{7}{11}$	$\frac{3}{4}$	$\frac{2}{3}$
$\frac{9}{8}$	$\frac{11}{19}$	$\frac{12}{7}$	$\frac{13}{9}$	$\frac{8}{13}$
$\frac{4}{3}$	$\frac{1}{2}$	$\frac{6}{15}$	$\frac{2}{9}$	$\frac{9}{20}$
$\frac{9}{5}$	$\frac{3}{10}$	$\frac{7}{4}$	$\frac{8}{2}$	$\frac{13}{7}$
$\frac{11}{10}$	$\frac{4}{5}$	$\frac{16}{13}$	$\frac{14}{9}$	$\frac{11}{2}$
$\frac{8}{7}$	$\frac{5}{8}$	$\frac{19}{13}$	$\frac{23}{16}$	$\frac{9}{5}$