Arrange the following fractions in descending order 9/16 5/8 0.62
0.62, 5/8, 9/16
To arrange the fractions in descending order, we need to convert the decimal 0.62 into a fraction.
To convert 0.62 into a fraction, we can place the decimal value over a power of 10. In this case, the number has two decimal places, so we can put it over 100.
0.62 = 62/100
Now we have the fractions:
9/16, 5/8, 62/100
To compare the fractions, we can find a common denominator and then compare the numerators.
The least common denominator for 16 and 8 is 16. Multiplying 9/16 by 2/2 and 5/8 by 2/2, we get:
18/32, 10/16, 62/100
Now we can compare the numerators:
18/32, 10/16, 62/100
Since the denominators are all the same, we can compare the numerators directly:
18 > 10 > 62
Therefore, arranging the fractions in descending order, we have:
9/16 > 5/8 > 0.62