Questions: Select all the rates that are unit rates. 1/(1/3) (2/3)/1 2/3 3/1 1/9

Solution Steps

• A unit rate is a rate with a denominator of 1.

• \(\frac{1}{\frac{1}{3}}\): Simplify to find if it is a unit rate.

  • \(\frac{1}{\frac{1}{3}} = 1 \times \frac{3}{1} = 3\)
  • Result: Not a unit rate.

• \(\frac{\frac{2}{3}}{1}\): Check if the denominator is 1.

  • The denominator is 1.
  • Result: This is a unit rate.

• \(\frac{2}{3}\): Check if the denominator is 1.

  • The denominator is not 1.
  • Result: Not a unit rate.

• \(\frac{3}{1}\): Check if the denominator is 1.

  • The denominator is 1.
  • Result: This is a unit rate.

• \(\frac{1}{9}\): Check if the denominator is 1.

  • The denominator is not 1.
  • Result: Not a unit rate.

• From the evaluation, the unit rates are:
  • \(\frac{\frac{2}{3}}{1}\)
  • \(\frac{3}{1}\)

Final Answer