Order these values from least to greatest:

5/9, 1.03, 95%,
5/3, 0.4, 120%

1 answer

To order the values from least to greatest, we need to convert them all to the same format. Let's convert them to decimal form:

  1. \( \frac{5}{9} \approx 0.5556 \)
  2. \( 1.03 \) is already in decimal form.
  3. \( 95% = \frac{95}{100} = 0.95 \)
  4. \( \frac{5}{3} \approx 1.6667 \)
  5. \( 0.4 \) is already in decimal form.
  6. \( 120% = \frac{120}{100} = 1.2 \)

Now we list these values in decimal form:

  • \( \frac{5}{9} \approx 0.5556 \)
  • \( 0.4 = 0.4 \)
  • \( 0.95 = 0.95 \)
  • \( 1.03 = 1.03 \)
  • \( 1.2 = 1.2 \)
  • \( \frac{5}{3} \approx 1.6667 \)

Now, we can order these from least to greatest:

  1. \( 0.4 \)
  2. \( \frac{5}{9} \approx 0.5556 \)
  3. \( 0.95 \)
  4. \( 1.03 \)
  5. \( 1.2 \)
  6. \( \frac{5}{3} \approx 1.6667 \)

So the final order from least to greatest is:

0.4, \( \frac{5}{9} \), 95%, 1.03, 120%, \( \frac{5}{3} \)