Order the following fractions from least to greatest.
\dfrac{NUMERATOR}{D}
SORTER.init("sortable")
Each fraction has a numerator of NUMERATOR.
So, each whole will have NUMERATOR shaded piece.
Each fraction has a numerator of NUMERATOR.
So, each whole will have NUMERATOR shaded pieces.
\COLORS[i][0]{\dfrac{NUMERATOR}{denom}}
shows NUMERATOR out of a total of
\COLORS[i][0]{denom} pieces shaded.
We can see that when the whole is divided into more pieces, each piece is smaller.
The fractions from least to greatest are:
ANSWER.
Compare.
\dfrac{NUMERATOR}{DENOMINATOR_1} ____
\dfrac{NUMERATOR}{DENOMINATOR_2}
SOLUTION
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Each fraction has a numerator of NUMERATOR.
So, each whole will have NUMERATOR shaded piece.
Each fraction has a numerator of NUMERATOR.
So, each whole will have NUMERATOR shaded pieces.
\green{\dfrac{NUMERATOR}{DENOMINATOR_1}} means
NUMERATOR out of a total of DENOMINATOR_1 pieces shaded.
\dfrac{\purple{NUMERATOR}}{\purple{DENOMINATOR_2}} means
NUMERATOR out of a total of DENOMINATOR_2 pieces shaded.
We can see that \green{\dfrac{NUMERATOR}{DENOMINATOR_1}} is divided into fewer pieces.
So, each piece in \green{\dfrac{NUMERATOR}{DENOMINATOR_1}} is larger than each piece in
\purple{\dfrac{NUMERATOR}{DENOMINATOR_2}}.
We can see that \purple{\dfrac{NUMERATOR}{DENOMINATOR_2}} is divided into fewer pieces.
So, each piece in \purple{\dfrac{NUMERATOR}{DENOMINATOR_2}} is larger than each piece in
\green{\dfrac{NUMERATOR}{DENOMINATOR_1}}.
\green{\dfrac{NUMERATOR}{DENOMINATOR_1}} SOLUTION
\purple{\dfrac{NUMERATOR}{DENOMINATOR_2}}
Which number line correctly shows
\dfrac{NUMERATOR}{DENOMINATOR_1} and
\dfrac{NUMERATOR}{DENOMINATOR_2}?
SOLUTIONAB
\dfrac{NUMERATOR}{\blue{DENOMINATOR_1}} means dividing each whole into
\blue{DENOMINATOR_1} equal lengths,
then measuring NUMERATOR of those lengths.
\dfrac{NUMERATOR}{\pink{DENOMINATOR_2}} means dividing each whole into
\pink{DENOMINATOR_2} equal lengths,
then measuring NUMERATOR of those lengths.
\dfrac{NUMERATOR}{\blue{DENOMINATOR_1}} means dividing 1 whole into
\blue{DENOMINATOR_1} equal segments, then taking NUMERATOR copies of them.
Number line SOLUTION is correct.