Page 217 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\10_Chapter_7\Chapter_7
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

15 45
Example 10: Check whether the fractions and are equivalent or not.
39 117

15 45 Remember
Solution: The given fractions are and
39 117 1. Equivalent fractions have the same value,
even though they may look different.
By cross multiplication, we have 2. When you multiply or divide both numerator

15 45 and denominator by the same number, the
value of the fraction remains same.
39 117

15 × 117 = 1755 = 45 × 39

15 45
Hence, and are equivalent fractions.
39 117

Fraction in its Simplest form or Lowest Terms

A fraction is said to be in its simplest form if the numerator and denominator have no common

factor except 1.
To reduce a fraction in its simplest form, we divide both the numerator and the denominator by
their HCF.

Numerator ÷ HCF
So, simplest form of a fraction =
Denominator ÷ HCF

6
Example 11: Reduce into its simplest form.
15
6 Think and Answer
Solution: In fraction , numerator is 6 and
15 If the sum of the numerator and
denominator is 15. HCF of 6 and 15 is 3. the denominator of an improper
fraction is 88, and the simplest form of that
6 63 2 8
÷
So, = = fraction is 3 , then find the improper fraction.
15 15 3 5 9
÷
6 2
Thus, the simplest form of is .
15 5
Practice Time 7C

1. Write the fractions represented by shaded parts of the diagrams given below. Are all these fractions
equivalent?
(a) (b) (c)

2. Write four equivalent fractions of each of the following fractions:

5 3 9 30
(a) (b) (c) (d)
6 8 13 90

215 Fractions