Question

Rocco is trying to find the fraction that is equivalent to the decimal 0.012. His work is shown below. Step 1: 0.012 = StartFraction 12 over 100 EndFraction Step 2: StartFraction 12 over 100 EndFraction equals StartFraction 3 over 25 EndFraction Step 3: Therefore 0.012 = StartFraction 3 over 25 EndFraction. What did Rocco do wrong? Rocco should have divided 12 by 100 in Step 2. Rocco wrote the equivalent fraction in Step 1 incorrectly. Rocco forgot to reduce the numerator when he reduced the denominator in Step 2. Rocco should have divided both the numerator and denominator by 2, not

Answer 1

Answer:

(B)Rocco wrote the equivalent fraction in Step 1 incorrectly.

Step-by-step explanation:

In trying to find the fraction equivalent of 0.012, Rocco's work is shown below:

Step 1: 0.012 = $\dfrac{12}{100}$

Step 2:  $\dfrac{12}{100}=\dfrac{3}{25}$

Step 3: Therefore 0.012  $=\dfrac{3}{25}$

Observe that in Step 1, Rocco wrote the equivalent fraction incorrectly.

Correctly: 0.012 = $\dfrac{12}{1000}$

The correct answer is B.