Question

Identify the descending numerical order of these fractions and decimals: 0.733, 0.923, 1 2/5 , 17/20 , 15/18 .(1 point) Responses 0.85, 1.4, 0.833, 0.733, 0.923 0.85, 1.4, 0.833, 0.733, 0.923 1 2/5 , 0.923, 17/20 , 15/18 , 0.733 1 Start Fraction 2 over 5 End Fraction , 0.923, Start Fraction 17 over 20 End Fraction , Start Fraction 15 over 18 End Fraction , 0.733 0.733, 1 2/5 , 15/18 , 17/20 , 0.923 0.733, 1 Start Fraction 2 over 5 End Fraction , Start Fraction 15 over 18 End Fraction , Start Fraction 17 over 20 End Fraction , 0.923 125 , 1518 , 1720 , 0.733, 0.923

Answer 1

To arrange the given fractions and decimals in descending numerical order, we first need to convert them all to decimal form for comparison:

1. \(0.733\) is already in decimal form.
2. \(0.923\) is already in decimal form.
3. For \(1 \frac{2}{5}\):
- Convert the mixed number to an improper fraction: \(1 \frac{2}{5} = \frac{5 \cdot 1 + 2}{5} = \frac{7}{5} = 1.4\).
4. For \(\frac{17}{20}\):
- Convert to decimal: \(17 \div 20 = 0.85\).
5. For \(\frac{15}{18}\):
- Convert to decimal: \(15 \div 18 \approx 0.8333\).

Now we have the following decimal equivalents:
- \(0.733\)
- \(0.923\)
- \(1.4\) (which is \(1 \frac{2}{5}\))
- \(0.85\) (which is \(\frac{17}{20}\))
- \(0.8333\) (which is \(\frac{15}{18}\))

Now let's arrange them in descending order:
1. \(1.4\)
2. \(0.923\)
3. \(0.85\)
4. \(0.8333\)
5. \(0.733\)

Thus, the correct descending order is:

**1 2/5, 0.923, 17/20, 15/18, 0.733**.