Which of the following values are equivalent to 14/20

Question

? Select all that apply.
A. 2/5

B.
7%
C.
0.7
D.
70.0

Answer 1

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

1. Simplifying \( \frac{14}{20} \): \[ \frac{14}{20} = \frac{14 \div 2}{20 \div 2} = \frac{7}{10} \] Thus, \( \frac{14}{20} \) is equivalent to \( \frac{7}{10} \).

2. Calculating the decimal form: \[ \frac{7}{10} = 0.7 \]

3. Calculating the percentage: \[ \frac{7}{10} \times 100 = 70% \]

Now, let's evaluate the options:

• A. \( \frac{2}{5} \): To check: \[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \] This is not equivalent to \( \frac{14}{20} \).

• B. \( 7% \): This is \( 0.07 \), which is not equivalent.

• C. \( 0.7 \): This is equivalent.

• D. \( 70.0 \): This is equivalent to \( 70% \), which is also equivalent.

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

C. 0.7 and D. 70.0.