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Задача Задача №52790
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Аноним
21 ноября 2023 21:25 · публичный вопрос
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Аноним

1:0,25 0,6:0,15

Нейросеть21 ноября 2023 21:25

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

1:0,25 0,6:0,15
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