Question

Direction Study the fallowing Rotos Write yes or no - 100:20 and 10:4​

Answer 1

To determine if the ratios 100:20 and 10:4 are equivalent, they must be simplified. The first ratio simplifies to 5:1 and the second simplifies to 5:2. Since they do not simplify to the same ratio, they are not equivalent, and the answer is no.

Step-by-step explanation:

The question seems to be asking whether the two ratios 100:20 and 10:4 are equivalent. To determine if the ratios are equivalent, you can simplify both ratios. If they simplify to the same value, they are equivalent, and the answer would be yes; if not, the answer would be no.

For the first ratio, 100:20, simplifying would look like this:

1. Divide both the numerator (100) and the denominator (20) by the greatest common divisor, which in this case is 20.
2. 100 divided by 20 equals 5, and 20 divided by 20 equals 1. So, the ratio simplifies to 5:1.

For the second ratio, 10:4, follow a similar process:

1. Divide both the numerator (10) and the denominator (4) by their greatest common divisor, which is 2.
2. 10 divided by 2 equals 5, and 4 divided by 2 equals 2. So, the ratio simplifies to 5:2.

Since 5:1 and 5:2 are not the same, the ratios 100:20 and 10:4 are not equivalent. Thus, the answer to whether these ratios are equivalent is no.