Question

Evaluate the expression. Write as an improper fraction in simplest form.

0.5 divided by 1/3. Show the steps.
a) 1/3
b) 3/2
c) 1/2
d) 2/3

Answer 1

The expression 0.5 divided by 1/3 equals 3/2 when evaluated and written as an improper fraction in simplest form.

Step-by-step explanation:

To evaluate the expression 0.5 divided by 1/3 and write it as an improper fraction in simplest form, we can follow these steps:

1. First, convert the decimal 0.5 to a fraction, which is the same as ½.
2. Next, recall that dividing by a fraction is equivalent to multiplying by its reciprocal. So, ½ ÷ ⅓ becomes ½ × 3/1.
3. Now, multiply the numerators together and denominators together: (½ × 3/1) = (1 × 3)/(2 × 1) = 3/2.

The improper fraction in simplest form is ⅔, which corresponds to option b) 3/2.