Question

Find the unit rate 6 and 2/5 revolutions in 2 and 2/3 in seconds

Answer 1

Step 1

Convert mixed fractions into fractions

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

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

Step 2

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

Step 2 (A)

Get the reciprocal of the 2nd fraction:

From 8/3 to 3/8

Step 2 (B)

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

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

Step 2 (C)

Simplify the fraction

96/40 divide by 4 will become 24/10

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

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