Simplifying ratios
20: 10
30: 36
54: 12

Simplify

1. 20:10 = 2:1

2. 30:36 = 5:6

3. 54: 12 = 18:7

Step-by-step explanation:

Answer for Number 1

The GCF of 20 and 10 is 10

Divide both by the GCF, 10:

20 ÷ 10 = 2

10 ÷ 10 = 1

The ratio 20 : 10 can be reduced t by dividing both terms by the GCF = 10

20 : 10 = 2 : 1

20:10 is 2:1

30:36 is 5:6

54:12 is 9:2

Step-by-step explanation:

First one is Divide both terms by the GCF, 10:

20 ÷ 10 = 2

10 ÷ 10 = 1

The ratio 20 : 10 can be reduced to lowest terms by dividing both terms by the GCF = 10 :

20 : 10 = 2 : 1

Second is Divide both terms by the GCF, 6:

30 ÷ 6 = 5

36 ÷ 6 = 6

The ratio 30 : 36 can be reduced to lowest terms by dividing both terms by the GCF = 6 :

30 : 36 = 5 : 6

Third is Divide both terms by the GCF, 6:

54 ÷ 6 = 9

12 ÷ 6 = 2

The ratio 54 : 12 can be reduced to lowest terms by dividing both terms by the GCF = 6 :

54 : 12 = 9 : 2

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.