To convert the decimal 0.94 to a fraction, we can start by expressing it as:
\[ 0.94 = \frac{94}{100} \]
Next, we simplify the fraction \(\frac{94}{100}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
\[ \frac{94 \div 2}{100 \div 2} = \frac{47}{50} \]
So, \(0.94\) as a simplified fraction is \(\frac{47}{50}\).
The options provided (15/16, 17/18, 17/20, 8/9) are different fractions and do not exactly equal 0.94. However, if we want to determine which of these fractions is the closest to 0.94, we can convert them into decimals:
- \( \frac{15}{16} = 0.9375\)
- \( \frac{17}{18} \approx 0.9444\)
- \( \frac{17}{20} = 0.85\)
- \( \frac{8}{9} \approx 0.8888\)
Among these options, \( \frac{15}{16} \) is the closest to 0.94. So, the answer is:
\(\frac{15}{16}\) is closest to \(0.94\).
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