1) 7:2 , 7⁄2 , 7 is to 2
2) 10:1 , 10⁄1 , 10 is to 1
3) 8:3 , 8⁄3 , 8 is to 3
4) 2:1 , 2⁄1 , 2 is to 1
5) 1:12 , 1⁄12 , 1 is to 12
6) 3:2 , 3⁄2 , 3 is to 2
7) 1:3 , 1⁄3 , 1 is to 3
8) 2:3 , 2⁄3 , 2 is to 3
9) 5:1 , 5⁄1 , 5 is to 1
10) 52:1 , 52⁄1 , 52 is to 1
Step-by-step explanation:
Ratio
A ratio is used to compare quantities. It indicates how much of one quantity there is compared to another quantity. Ratio can be shown in three different ways. It can be shown in colon form, fraction form and word form. It is also expressed in its simplest form.
Let us now give the ratio of the following quantities above.
1) 6 weeks to 12 days
Notice that the two quantities have different units. To determine the ratio, make them similar first by converting weeks to days.
1 week = 7 days
6 weeks = 6 × 7 = 42 days
42:12
The ratio is 42:12. However, you can still simplify it since they have a common factor which is 6. Divide both sides by 6.
42÷6:12÷6 = 7:2
7:2 , 7⁄2 , 7 is to 2
2) 10 decimeters to 10 centimeters
Make them similar first by converting decimeters to centimeters.
1 dm = 10 cm
10 dm = 10 × 10 = 100 cm
100:10
The ratio is 100:10. Simplify. Divide both sides by 10.
100÷10:10÷10 = 10:1
10:1 , 10⁄1 , 10 is to 1
3) 4 days to 36 hours
Convert days to hours.
1 day = 24 hrs
4 days = 4 × 24 = 96 hrs
96:36
The ratio is 96:36. Simplify. Divide both sides by 6.
96÷6:36÷6 = 16:6 or 8:3
8:3 , 8⁄3 , 8 is to 3
4) 4 months to 8 weeks
Convert months to weeks.
1 month = 4 weeks
4 months = 4 × 4 = 16 weeks
16:8 or 2:1
2:1 , 2⁄1 , 2 is to 1
5) 30 seconds to 6 minutes
Convert minutes to seconds.
1 min = 60 secs
6 mins = 6 × 60 = 360 secs
30:360 or 1:12
1:12 , 1⁄12 , 1 is to 12
6) 24 girls to 16 boys
24:16 or 3:2
3:2 , 3⁄2 , 3 is to 2
7) 12 mangoes to 36 fruits
12:36 or 1:3
1:3 , 1⁄3 , 1 is to 3
8) 2 years to 36 months
Convert years to months.
1 year = 12 months
2 years = 2 × 12 = 24 months
24:36 or 2:3
2:3 , 2⁄3 , 2 is to 3
9) 45 poi nts to 9 games
45:9 or 5:1
5:1 , 5⁄1 , 5 is to 1
10) 468 students to 9 classrooms
468:9 or 52:1
52:1 , 52⁄1 , 52 is to 1
To know some word problems involving ratio, visit the links.
https://brainly.ph/question/281830
https://brainly.ph/question/867439
https://brainly.ph/question/2435621
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