To simplify the given ratio of 1:0.25, we need to convert the decimals to a common denominator.
First, we can convert 0.25 to a fraction by dividing 25 by 100:
0.25 = 25/100 = 1/4
Now, the ratio becomes:
1:1/4
To simplify this ratio, we can multiply both sides by 4 to get rid of the fraction:
1 * 4 : (1/4) * 4
4 : 1
Therefore, the simplified ratio is 4:1.
Next, let's simplify the ratio of 0.6:0.15.
To convert 0.6 to a fraction, we divide 6 by 10:
0.6 = 6/10 = 3/5
Similarly, we convert 0.15 to a fraction by dividing 15 by 100:
0.15 = 15/100 = 3/20
Now, the ratio becomes:
3/5 : 3/20
To simplify this ratio, we can find a common denominator. The least common multiple (LCM) of 5 and 20 is 20.
Now, we multiply both sides by the appropriate factors to obtain the common denominator:
(3/5) * 4 : (3/20) * 1
12/20 : 3/20
Therefore, the simplified ratio is 12:3, which can be further simplified by dividing both terms by 3:
4:1.
In summary:
1:0.25 simplifies to 4:1
0.6:0.15 simplifies to 4:1
