Saved Bookmarks
| 1. |
Word problem of ratio the sum of two numbers is 350 and ratio is 5:2.find the smallest no |
|
Answer» ong>Step-by-step explanation: (i) HCF of 24 and 40 is 8. ∴ 24 : 40 = 24 40
= 24 ÷ 8 40 ÷ 8
= 5
= 3 : 5 Hence, 24 : 40 in its simplest form is 3 : 5. (ii) HCF of 13.5 and 15 is 1.5.
13.5 15
= 150
The HCF of 135 and 150 is 15.= 135 ÷ 15 150 ÷ 15
= 10
Hence, 13.5 : 15 in its simplest form is 9 : 10. (iii) 20 3
: 15 2
=40 : 45 The HCF of 40 and 45 is 5. ∴ 40 : 45 = 40 45
= 40 ÷ 5 45 ÷ 5
= 8 9
= 8 : 9 Hence, 6 2 3
: 7 1 2
in its simplest form is 8 : 9 (iv) 9 : 6 The HCF of 9 and 6 is 3. ∴ 9 : 6 = 9 6
= 9 ÷ 3 6 ÷ 3
= 3 : 2 Hence, 1 6
: 1 9
in its simplest form is 3 : 2. (v) LCM of the denominators is 2. ∴ 4 : 5 : 9 2
= 8 : 10 : 9 The HCF of these 3 numbers is 1. ∴ 8 : 10 : 9 is the simplest form. (vi) 2.5 : 6.5 : 8 = 25 : 65 : 80 The HCF of 25, 65 and 80 is 5. ∴ 25 : 65 : 80 = 25 65 80
= 25 ÷ 5 65 ÷ 5 80 ÷ 5
= 5 13 16
= 5 : 13 : 16 helpful to you |
|