1) 4:3, 4 to 3, 4⁄3
2) 5:4, 5 to 4, 5⁄4
3) 4:5, 4 to 5, 4⁄5
4) 10:1, 10 to 1, 10⁄1
5) 7:2, 7 to 2, 7⁄2
Step-by-Step Explanation:
Determining Ratio
Ratios determine how a quantity is related to another quantity. It tells how many times larger the quantity than the other quantity. It can be expressed in three different ways: word form, colon form and fraction form.
- Word Form (a to b)
- Colon Form (a:b)
- Fraction Form (a/b)
Ratios are also expressed in their simplest form. Just divide the quantities by their greatest common factor.
Let us now answer the given activity above.
1) The ratio of 8 triangles is to 6 trapezoids:
Its ratio is 8:6, however, you can still simplify it since they have a common factor which is 2. Divide both sides by 2.
8÷2 : 6÷2 = 4:3
The ratio is 4:3, 4 to 3 or 4⁄3.
2) The ratio of 10 arrow ups is to 8 arrow downs:
Its ratio is 10:8, however, you can still simplify it since they have a common factor which is 2. Divide both sides by 2.
10÷2 : 8÷2 = 5:4
The ratio is 5:4, 5 to 4 or 5⁄4.
3) The ratio of 4 triangles is to 5 squares:
The ratio is 4:5, 4 to 5 or 4⁄5.
4) The ratio of 10 decimeters to 10 centimeters:
Notice that the two quantities have different units. To find the ratio, you have to make their unit similar first by converting decimeters to centimeters.
1 dm = 10 cm
10 dm = 10 × 10 cm = 100 cm
The ratio is 100:10. However, you can still simplify them by dividing both sides by 10.
100÷10 : 10÷10 = 10:1
The ratio is 10:1, 10 to 1 or 10⁄1.
5) The ratio of 6 weeks to 12 days:
Notice that the two quantities have different units. To find the ratio, you have to make their unit similar first by converting weeks to days.
1 week = 7 days
6 weeks = 6 × 7 = 42
The ratio is 42:12. However, you can still simplify them by dividing both sides by 6.
42÷6 : 12÷6 = 7:2
The ratio is 7:2, 7 to 2 or 7⁄2.
For ratio word problems, visit the links.
https://brainly.ph/question/281830
https://brainly.ph/question/867439
https://brainly.ph/question/2435621
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