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.


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  1. 1 Fractions

    A fraction would always comprise of 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 just need to turn it upside down. For example, the reciprocal of 1/3 is 3/1, which means 3.

  2. 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. 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, just turn it upside down, and it will become- ¾.

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

    Calculating this would become easier if you understand this by an example. If you have a bottle of juice and it contains 900ml of juice, but 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.

    Now, again if you have to divide this 300ml into 2 more people than 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. 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


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64 shares, 486 points
Manish Kapoor

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