one forth of two thirds

Question

what does it mean

 

Answer 1

In the slightly revised version of your question "one fourth of two thirds" the word OF means multiply;

thus (1/4)•(2/3) =1/6

Answer 2

First, 2/3 means the whole is broken into 3 equal parts, and you take two

 

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Now 1/4 of 2/3 means you break your two parts into 4 pieces and take 1. 

 

 

 

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However as the denominator of a fraction tells how many "equal" parts are in the whole, you must also break the last third of the original fraction in half so you have equal parts. 

 

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This visual shows you have 1 piece out of 6 equal sized pieces or 1/6

 

1/4 of 2/3 is equal to 1/6

 

 

As stated below, this can be found with just multiplication.