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.
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 = 1
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.
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.
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