Question

Which of the following values are equivalent to 14/20

? 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**.