pls I want I want with step by step explanation
Answers
1 a) 5km : 400m
= 5000 : 400 (converted to m from km)
= Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 5000 and 400 is 200
Divide both terms by the GCF, 200:
5000 ÷ 200 = 25
400 ÷ 200 = 2
The ratio 5000 : 400 can be reduced to lowest terms by dividing both terms by the GCF = 200 :
5000 : 400 = 25 : 2
Therefore:
5000 : 400 = 25 : 2
1 b) 2hrs : 180min
= 120 : 180 (hrs converted to min)
= The GCF of 120 and 180 is 60
Divide both terms by the GCF, 60:
120 ÷ 60 = 2
180 ÷ 60 = 3
The ratio 120 : 180 can be reduced to lowest terms by dividing both terms by the GCF = 60 :
120 : 180 = 2 : 3
Therefore:
120 : 180 = 2 : 3
2
Check whether the given ratios are equal? The given ratios 3: 5 and 15: 25 are equal. Because when you divide the ratio 15: 25 by 5 on both numerator and denominator, the first ratio 3: 5 can be obtained. Similarly, when you multiply the first ratio 3: 5 by 5, the ratio 15: 25 can be obtained.
a) 2:3 and 4:5 are not equal
b) 1:3 and 2:6 are equal ratios
3 a) 2:1
b) 3:4
4
= No. None of the ratios are equal.
5
(i) 36% of 400
Ans) STEP 1: 1% of 400 = 400/100 = 4
STEP 2: 36% of 400 = 36 x 4 = 144
144 is the answer
(ii) 16% of 32
STEP 1: 1% of 32 = 32/100 = 0.32
STEP 2: 16% of 32 = 16 x 0.32 = 5.12
5.12 is the answer