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

1 answer

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.