Question

A sailboat travels a distance of 2 1/3 miles in 1/6 of an hour. Which complex fraction represents the unit rate in miles per hour?

Answer 1

Answer: 14 miles per hour

Step-by-step explanation:

To find unit rate let's divide the distance travel by the time taken ,

To divide fraction by another fraction we need to multiply first fraction by reciprocal

that is,

multiplying 2 by 3 and add numerator

(2*3+1) / 3= 7/3

Now lets divide7/3 by the reciprocal of 1/6 which is 6/1

(7/3) * (6/1) = (7 *6) / (3 *1) = 42/3 =14

Answer 2

• 2 1/3 ÷ 1/6 or 14 miles per hour

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Let the unit rate be x.

Then we can set up the following relation:

• 2 1/3 miles ⇒ 1/6 of an hour
• x miles ⇒ 1 hour

This can be converted to a ratio:

• 2 1/3 ÷ x = 1/6 ÷ 1
• x = 2 1/3 ÷ 1/6
• x = 7/3 ÷ 1/6
• x = 7/3 × 6
• x = 14