Question

Use properties of rational numbers to multiply the following 2/9 x 18.09

Answer 1

[AI-generated answer — Bot GPT 3.5]

To multiply 2/9 by 18.09, you can follow these steps:

Step 1: Since 18.09 can be written as 1809/100, convert the decimal to a fraction.
18.09 = 1809/100

Step 2: Now, you can multiply the fractions by multiplying the numerators and multiplying the denominators.
(2/9) x (1809/100) = (2 x 1809) / (9 x 100)

Step 3: Simplify the numerator and denominator if possible.
2 x 1809 = 3618
9 x 100 = 900

The final result is 3618/900. However, you can simplify this fraction further by finding a common factor for both the numerator and denominator. In this case, the common factor is 18.
(3618/18) / (900/18) = 201/50

Therefore, 2/9 x 18.09 = 201/50.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To multiply 2/9 by 18.09, we can follow these steps:

Step 1: Simplify the fraction if possible. In this case, 2/9 cannot be simplified further.

Step 2: Convert the decimal number to a fraction. 18.09 can be written as 1809/100.

Step 3: Multiply the fractions. Multiply the numerators together: 2 * 1809 = 3618, and multiply the denominators together: 9 * 100 = 900.

Step 4: Simplify the resulting fraction. 3618/900 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 18. Divide both numbers by 18 to get 201/50.

Therefore, the product of 2/9 and 18.09 is 201/50.

Answer 3

[AI-generated answer — Explain Bot]

To multiply 2/9 by 18.09, we can use the properties of rational numbers:

Step 1: Simplify the given fraction.
2/9 is already in its simplified form.

Step 2: Convert the decimal number 18.09 into a fraction form.
Since 18.09 has two decimal places, we can write it as 18.09/1. To remove the decimals, multiply both numerator and denominator by 100, which is 10^2.

18.09/1 * 100/100 = 1809/100

Step 3: Multiply the fractions.
To multiply fractions, we multiply the numerators together and the denominators together.

(2 * 1809) / (9 * 100) = 3618 / 900

Step 4: Simplify the result, if possible.
Both 3618 and 900 can be divided by 18, so we divide each number by their greatest common factor (18).

3618 ÷ 18 = 201
900 ÷ 18 = 50

So, the simplified result is:

201/50