Which of the following values are equivalent to 14/20? Select all that apply.

Question

A. 2/5

B.
7%
C.
0.7
D.
70.0
E. 7/10

F.
0.14

Answer 1

To determine which values are equivalent to \( \frac{14}{20} \), we can simplify \( \frac{14}{20} \) and convert it to other forms (percent, decimal, and fraction).

1. Simplifying \( \frac{14}{20} \): \[ \frac{14}{20} = \frac{14 \div 2}{20 \div 2} = \frac{7}{10} \]

2. Converting to decimal: \[ \frac{14}{20} = 0.7 \]

3. Converting to percentage: \[ \frac{14}{20} = (0.7) \times 100 = 70% \]

Now, let's evaluate the options given:

A. \( \frac{2}{5} = 0.4 \) (not equivalent)

B. \( 7% = 0.07 \) (not equivalent)

C. \( 0.7 \) (equivalent)

D. \( 70.0 \) (equivalent)

E. \( \frac{7}{10} \) (equivalent)

F. \( 0.14 \) (not equivalent)

Therefore, the equivalent values to \( \frac{14}{20} \) are:

• C. \( 0.7 \)
• D. \( 70.0 \)
• E. \( \frac{7}{10} \)