What is 1/3 of 1/3?

What is 1/3 of 1/3? It’s 1/9. Multiplying the numerators (1 x 1) gives a result of 1. Multiplying the denominators (3 x 3 ) gives a result of 9.
What is 1/3 of 1/3?
  1. Fractions

    A fraction would always comprise two numbers, one would be the numerator, and the other would be the denominator. For example, in 1/3, 1 is the numerators, and 3 is the denominator. For getting the reciprocal of a fraction, you need to turn it upside down. For example, the reciprocal of 1/3 is 3/1, which means 3.

  2. Multiplying a fraction by its reciprocal

    In every case, if you divide a fraction by its reciprocal, the answer that you would always get would be 1. For example:

    = 1

    3 * 3 = 3

  3. Reciprocal of a mixed fraction

    For finding the reciprocal of a mixed fraction, you would first have to change it into an improper fraction; after that, you would have to turn it upside down. For example:

    If you want to find the reciprocal of 1 1/3, then-

    Firstly, you need to convert it into an improper fraction- 3/3+1/3= 4/3

    Now, turn it upside down, and it will become- ¾.

  4. What is 1/3 of 1/3?

    Calculating this will become easier if you understand this by example. If you have a bottle of juice and contains 900ml of juice, you need to share it with 2 other friends. Hence- 900ml *1/3 = 300ml. This means that each one of you gets 300ml of juice.

    If you have to divide this 300ml into 2 more people, you would have to divide 300 *1/3 = 100ml. Thus you would be left with 100ml of juice. Hence you get the 1/9 portion of the juice. Thus, 1/3 of 1/3 = 1/9.

  5. Conversion Chart

    Here is the conversion chart for similar calculations like this:

    Original Amount  Half the Amount  One-Third the Amount
    1 cup 1/2 cup 1/3 cup
    3/4 cup 6 tbsp 1/4 cup
    2/3 cup 1/3 cup 3 tbsp+ 1-1/2 tsp
    1/2 cup 1/4 cup 2 tbsp + 2 tsp
    1/3 cup 2 tbsp + 2 tsp 1 tbsp + 1-1/4 tsp
    1/4 cup 2 tbsp 1 tbsp + 1 tsp
    1 tbsp 1-1/2 tsp 1 tsp
    1 tsp 1/2 tsp 1/4 tsp
    1/2 tsp 1/4 tsp 1/8 tsp
    1/4 tsp 1/8 tsp Dash
Total
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