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Look at the fraction wall page 124. a) How many thirds are there in one whole? b) How many Sixths are there in one whole? c) How many Sixths are there in one third? d) How many Sixths are there in two thirds?

Mathematics

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Here are the answers to your questions about fractions:

  1. Determine how many thirds are in one whole.

    To find how many 13\frac{1}{3} are in 1, we divide 1 by 13\frac{1}{3}.

    1÷13=1×31=31 \div \frac{1}{3} = 1 \times \frac{3}{1} = 3

    There are 3 thirds\boxed{\text{3 thirds}} in one whole.

  2. Determine how many sixths are in one whole.

    To find how many 16\frac{1}{6} are in 1, we divide 1 by 16\frac{1}{6}.

    1÷16=1×61=61 \div \frac{1}{6} = 1 \times \frac{6}{1} = 6

    There are 6 sixths\boxed{\text{6 sixths}} in one whole.

  3. Determine how many sixths are in one third.

    To find how many 16\frac{1}{6} are in 13\frac{1}{3}, we divide 13\frac{1}{3} by 16\frac{1}{6}.

    13÷16=13×61=63=2\frac{1}{3} \div \frac{1}{6} = \frac{1}{3} \times \frac{6}{1} = \frac{6}{3} = 2

    There are 2 sixths\boxed{\text{2 sixths}} in one third.

  4. Determine how many sixths are in two thirds.

    To find how many 16\frac{1}{6} are in 23\frac{2}{3}, we divide 23\frac{2}{3} by 16\frac{1}{6}.

    23÷16=23×61=123=4\frac{2}{3} \div \frac{1}{6} = \frac{2}{3} \times \frac{6}{1} = \frac{12}{3} = 4

    There are 4 sixths\boxed{\text{4 sixths}} in two thirds.

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