Find:
(i) (7/11) of Rs 330
(ii) (5/9) of 108 meters
(iii) (3/7) of 42 liters
(iv) (1/12) of an hour
(v) (5/6) of a year
(vi) (3/20) of a kg
(vii) (7/20) of a liter
(viii) (5/6) of a day
(ix) (2/7) of a week
Find:
(i) (1/2) of 4 2/9
(ii) (5/8) of 9 2/3
(iii) (2/3) of (9/16)
. Simplify:
(i) (12/25) × (15/28) × (35/36)
(ii) (10/27) × (39/56) × (28/65)
(iii) 2 2/17 × 7 2/9 × 1 33/52
How many one-fifths are there in 200?
The product of 9/7 and the number is 63. Find the number.
3/5 of a class of 45 are boys. Find the number of girls in the class.
Answers
Answer:
(1) Given (7/11) of Rs 330
= (7/11) x 330
On dividing by 11 we get
= 7 x 30
= 210
(7/11) of Rs 330 is Rs 210
(ii) Given (5/9) of 108 meters
= (5/9) * 108
Dividing 108 by 9 we get
= 5 x 12
= 60
(5/9) of 108 meters is 60 meters
(iii) Given (3/7) of 42 liters
= (3/7) x 42
Dividing 42 by 7 we get
= 3x6
= 18
(3/7) of 42 liters is 18 liters
(iv) Given (1/12) of an hour
An hour = 60 minutes
= (1/12) x 60
Dividing 60 by 12 we get
= 1x5
= 5
(1/12) of an hour is 5 minutes
(v) Given (5/6) of an year
1 year = 12 months
= (5/6) * 12
Dividing 12 by 6 we get
= 5x2
= 10
(5/6) of an year is 10 months
Answer:
(i) Given (7/11) of Rs 330
= (7/11) × 330
On dividing by 11 we get
= 7 × 30
= 210
(7/11) of Rs 330 is Rs 210
(ii) Given (5/9) of 108 meters
= (5/9) × 108
Dividing 108 by 9 we get
= 5 × 12
= 60
(5/9) of 108 meters is 60 meters
(iii) Given (3/7) of 42 liters
= (3/7) × 42
Dividing 42 by 7 we get
= 3 × 6
= 18
(3/7) of 42 liters is 18 liters
(iv) Given (1/12) of an hour
An hour = 60 minutes
= (1/12) × 60
Dividing 60 by 12 we get
= 1 × 5
= 5
(1/12) of an hour is 5 minutes
(v) Given (5/6) of an year
1 year = 12 months
= (5/6) × 12
Dividing 12 by 6 we get
= 5 × 2
= 10
(5/6) of an year is 10 months
(vi) Given (3/20) of a kg
1 kg = 1000 grams
= (3/20) × 1000
= 3 × 50
= 150
(3/20) of a kg is 150 grams
(vii) Given (7/20) of a liter
1 liter = 1000 ml
= (7/20) × 1000
= 7 × 50
= 350
(7/20) of a liter is 350ml
(viii) Given (5/6) of a day
1 day = 24 hours
= (5/6) × 24
= 5 × 4
= 20
(5/6) of a day is 20 hours
(ix) Given (2/7) of a week
1 week = 7 days
= (2/7) × 7
= 2 × 1
= 2
(2/7) of a week is 2 days
3/5 of a class of 45 are boys. Find the number of girls in the class.
Solution:
Total number of students = 45
Number of boys out of 45 is = (3/5)
Number of girls = 45 – (3/5) × 45
= 45 – 3 × 9
= 45 – 27
= 18 girls