find the ratio
5months :100days
Answers
Answer:
(i) 30 and 15
= 30 : 15
First we need to convert the given ratio into fraction,
= 30/15, [divide both the numerator and denominator by 15 since, the h.c.f. of 30 and 15 is 15]
= 2/1
= 2 : 1
(ii) 60 and 48
= 60 : 48
First we need to convert the given ratio into fraction,
= 60/48 (divide both the numerator and denominator by 12 since, the h.c.f. of 60 and 48 is 12)
= 5/4
= 5 : 4
(iii) 8 kg and 10 kg
= 8 kg : 10 kg
= (8 kg)/(10 kg), [divide both the numerator and denominator by 2 since, the h.c.f. of 8 and 10 is 2]
= 4/5
= 4 : 5
Now, we will solve different types of problems on ratios in simplest form where both the quantities in different units. So, before finding the required ratio, we shall have to express both the quantities in the same units.
(iv) 3 kg to 2000 gm
= 3 kg : 2000 gm
= (3 kg)/(2000 gm)
We know, 1 kg = 1000 gm, 3 kg = 3 × 1000 gm = 3000 gm,
= (3000 gm)/(2000 gm), [divide both the numerator and denominator by 1000 since, the h.c.f. of 3000 and 2000 is 1000]
= 3/2
= 3 : 2
(v) 750 gm to 2 kg 250 gm
= 750 gm : 2 kg 250 gm
= (750 g)/(2 kg 250 gm)
We know, 1 kg = 1000 gm, 2 kg = 2 × 1000 gm = 2000 gm,
= (750 gm)/(2000 gm + 250 gm)
= 750/2250, [divide both the numerator and denominator by 750 since, the h.c.f. of 750 and 2250 is 750]
= 1/3
= 1 : 3
(vi) 3 hours to 75 minutes
= 3 hours : 75 minutes
= (3 hours)/(75 minutes)
We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,
= (180 minutes)/(75 minutes)
= 180/75
= 12/5
= 12 : 5
(vii) 2 hours 15 minutes to 45 minutes
= 2 hours 15 minutes : 45 minutes
= (2 hours 15 minutes)/(45 minutes)
We know, 1 hour = 60 minute, 2 hours = 2 × 60 minutes = 120 minutes,
= (120 + 15 minutes)/(45 minutes)
= 135/45
= 3/1
= 3 : 1
(viii) 10 months and 2 years
= 10 months : 2 years
= (10 months)/(2 years)
We know, 1 year = 12 months, 2 years = 12 × 2 months = 24 months,
= (10 months)/(24 months)
= 10/24
= 5/12
= 5 : 12
Answer:
38:25
Step-by-step explanation:
5 months= 152 days approx.
152 : 100
Simplified ratio= 38 :25