Represent the fraction 1 4 on the number line.

Given, 1 4 1 4 is a proper fraction as the numerator is smaller than the denominator. And we also know that the value of a proper fraction is greater than 0 but smaller than 1 . So, 1 4 lies between 0 and 1 on the number line. Draw 0 to 1 on a number line. Label point 1 as A and mark the starting point as O . Divide the number line from 0 to 1 into 4 equal parts and move 1 parts from 0 to reach point P . The number line is drawn below.

Represent the fraction 1 4 on the number line.

Given, 1 4 1 4 is a proper fraction as the numerator is smaller than the denominator. And we also know that the value of a proper fraction is greater than 0 but smaller than 1 . So, 1 4 lies between 0 and 1 on the number line. Draw 0 to 1 on a number line. Label point 1 as A and mark the starting point as O . Divide the number line from 0 to 1 into 4 equal parts and move 1 parts from 0 to reach point P . The number line is drawn below.

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 .

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.