Question

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

Answer 1

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.

Answer 2

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.