What is the unit rate of 6 2/5 revolutions in 2 2/3 seconds

1) Convert mixed fractions into fractions.

6 2/5 = ((6*5) + 2) / 5 = 32 / 5

2 2/3 = ((2*3) + 2) / 3 = 8 / 3

2) 32 / 5 : 8 / 3; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction

a) Get the reciprocal of the 2nd fraction:

From 8/3 to 3/8

b) Multiply 1st fraction to the reciprocal of the 2nd fraction

32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40

c) Simplify the fraction.

96 / 40 divide by 4 will become 24/10.

24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.

The unit rate is 12 / 5 = 2 2/5 revolutions per second.

If you would like to know what is the unit rate, you can calculate this using the following steps:

6 2/5 revolutions ... 2 2/3 seconds

x revolutions = ? ... 1 second

6 2/5 * 1 = 2 2/3 * x

32/5 = 8/3 * x / * 3/8

x = 32/5 * 3/8

x = 12/5

x = 2 2/5 revolutions

The correct result would be 2 2/5 revolutions per second.