To determine which values are equivalent to \( \frac{14}{20} \), we can simplify \( \frac{14}{20} \) and convert it to different forms (percentage and decimal).
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Simplify \( \frac{14}{20} \):
- The greatest common divisor (GCD) of 14 and 20 is 2.
- Simplifying \( \frac{14}{20} \) gives: \[ \frac{14 \div 2}{20 \div 2} = \frac{7}{10} \]
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Convert \( \frac{7}{10} \) to a decimal:
- Dividing 7 by 10 results in: \[ 7 \div 10 = 0.7 \]
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Convert \( \frac{7}{10} \) to a percentage:
- To convert to a percentage, multiply by 100: \[ \frac{7}{10} \times 100 = 70% \]
Now we check the options:
A. \( \frac{2}{5} \):
- To convert \( \frac{2}{5} \) to a decimal: \[ 2 \div 5 = 0.4 \]
- \( \frac{2}{5} \) is not equivalent to \( \frac{14}{20} \).
B. \( 7% \):
- \( 7% = 0.07 \) as a decimal.
- \( 7% \) is not equivalent to \( \frac{14}{20} \).
C. \( 0.7 \):
- \( 0.7 \) is the decimal form of \( \frac{7}{10} \) which is equivalent to \( \frac{14}{20} \).
D. \( 70.0 \):
- \( 70.0 = 70% = 0.7 \).
- \( 70.0 \) in decimal form is also equivalent to \( \frac{14}{20} \).
Thus, the values equivalent to \( \frac{14}{20} \) are C and D.