Page 115 - Math Genius C4

E:\Working\Orange_Education\Math_Genius_4\Open_Files\Chap-06
\ 30-Sep-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Practice time 6B

1. Check whether the following fractions are in their simplest forms or not.

3 9 12 17 12
(a) (b) (c) (d) (e)
15 13 18 21 19
15 8 5 16 1
(f) (g) (h) (i) (j)
24 12 17 20 8
2. Find the missing numbers.

14 ÷ 7 10 ÷ 15 ÷ 5
(a) = (b) = (c) =
21 ÷ 3 18 ÷ 2 35 ÷
3. Reduce each of the following fractions to its simplest form.

19 10 16 30 64
(a) (b) (c) (d) (e)
38 20 80 90 96
9 8 35 22 45
(f) (g) (h) (i) (j)
12 12 49 26 57

ProPer and imProPer Fractions

Proper Fraction

Look at the shaded portions of the figures given on 1 whole

the right side. 1

A fraction that is less than a whole is called a proper One-fourth =
4
fraction. Two-fourths =
2
In other words a fraction with a numerator less than 4
3
the denominator is called a proper fraction. Three-fourths =
4
Here, 1 , 2 and 3 , are some examples of proper 4
4 4 4 Four-fourths = = 1 whole
4
fractions. 5 1

improper Fraction Five-fourths = = 1 and 4
4
6 2
A fraction which is more than or equal to a whole is Six-fourths = = 1 and 4
4
called an improper fraction.
In other words, a fraction with a numerator greater than or equal to the denominator

is called an improper fraction.

Here, 4 , 5 and 6 , are some examples of improper fractions.
4 4 4

Mathematics-4 113