Math Question 7c Wrong Answer - NASA
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This answer is incorrect.
The easiest way to work this problem is to convert everything to the same form. Either convert everything to a fraction or convert everything to a percentage.
Converting everything to a fraction:
- 335% is converted to 3.35 to make it a decimal.
- 3.35 is converted to 3 35/100 to change it to a fraction. The fraction is not in lowest terms.
- Reducing the fraction 3 35/100 to lowest terms results in the fraction 3 7/20.
- You now must compare it to 3 3/5.
- To see if the fractions are equal you must change both to the same common denominator
The lowest common denominator for 5 and 20 is 20. In order to change 3/5 so that it has a denominator of 20 both the numerator and denominator are multiplied by 1 in the form 4/4.
- 3/5 * 4/4 = 12/20
- You can see now that 3 12/20 is not equal to 3 7/20 therefore the third choice is not correct.
Converting everything to a percentage:
- To convert 3 3/5 to a percentage, first you must convert it to a decimal.
- To convert 3/5 to a decimal, divide the denominator into the numerator. 3 divided by 5 = .6
- Then the whole number is added to the decimal .6 making it 3.6
- To convert the decimal 3.6 to a percentage, move the decimal point two places to the right and add the percentage symbol.
- 360% is greater then 335% therefore making the third choice incorrect.
Now let us try another one.
Which statement is correct?
- 32% > 8/25 (Thirty two percent is greater than eight twenty fifths)
- 16% = 7/16 (Sixteen percent is equal to seven sixteenths)
- 3 4/5 = 380% (Three and four fifths is equal to three hundred eighty percent)
- 3/4 < 60% (Three fourths is less than sixty percent)
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