Answer:
1. 1/2
2. 3/4
3. 1/6
4. 1/4
5. 7/4
6. 3/2
7. 5/1
8. 2/7
9. 1/4
Step-by-step explanation:
A ratio compares values.
So if there are 3 oranges and 12 apples, we can say that there is a ratio of 3 : 12 meaning there are 3 oranges for every 12 apples.
Ratios can be written in different ways, but they mean the same thing:
- Using the ":" to separate the values: 3 : 12
- Or using the word "to" to separate the values: 3 to 12
- or as a fraction: [tex]\frac{3}{12}[/tex]
A ratio can also be scaled up or scaled down (as long as we do the same thing to both values):
- 3 : 12 is the same as 6 : 24 (multiplied both values by 2)
- 3 : 12 is the same as 1 : 4 (divided both values by 3)
1. 2 to 4 = 2 : 4 = 2/4
We can reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 2: 2/4 = 1/2
2. 15/20
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 5:
15/20 = 3/4
3. 6 : 18 = 6/18
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
6/18 = 1/6
4. 3 to 12 = 3 : 12 = 3/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 3:
3/12 = 1/4
5. 7 : 4 = 7/4
This fraction cannot be reduced any further as the numerator is a prime number. Prime numbers are whole number greater than 1 that cannot be made by multiplying other whole numbers.
6. 18/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
18/12 = 3/2
7. 35 : 7 = 35/7
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 7:
35/7 = 5/1
(5/1 = 5 however the question is asking you to write the ratio in the lowest fraction, so the lowest fraction is 5/1)
8. 8/28
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 4:
8/28 = 2/7
9. 24 : 96 = 24/96
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 24:
24/96 = 1/4
