Order the following fractions from least to greatest:
\dfrac{N}{DENOMINATOR}
SORTER.init("sortable")
Each fraction has a denominator of DENOMINATOR.
We can show this by dividing a whole into DENOMINATOR
equal-sized pieces of \dfrac{1}{DENOMINATOR}.
DENOMINATOR pieces are shaded.
So we just order the numerators.
The fractions from least to greatest are:
ANSWER.
Compare.
\dfrac{NUMERATOR_1}{DENOMINATOR} ____
\dfrac{NUMERATOR_2}{DENOMINATOR}
SOLUTION
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Both fractions have a denominator of DENOMINATOR.
We can show this by dividing a whole into DENOMINATOR
equal-sized pieces of \dfrac{1}{DENOMINATOR}.
The numerator tells us how many of the DENOMINATOR pieces are shaded.
So, we just need to compare the numerators.
\green{\dfrac{NUMERATOR_1}{DENOMINATOR}} SOLUTION
\purple{\dfrac{NUMERATOR_2}{DENOMINATOR}}
Which number line correctly shows
\dfrac{NUMERATOR_1}{DENOMINATOR} and
\dfrac{NUMERATOR_2}{DENOMINATOR}?
SOLUTIONAB
We can draw a number line showing each whole divided into DENOMINATOR
equal lengths of \dfrac{1}{DENOMINATOR}.
We move \dfrac{1}{DENOMINATOR} on the number line
\blue{NUMERATOR_1} time to reach
\blue{\dfrac{NUMERATOR_1}{DENOMINATOR}}.
We move \dfrac{1}{DENOMINATOR} on the number line
\blue{NUMERATOR_1} times to reach
\blue{\dfrac{NUMERATOR_1}{DENOMINATOR}}.
We move \dfrac{1}{DENOMINATOR} on the number line
\pink{NUMERATOR_2} time to reach
\pink{\dfrac{NUMERATOR_2}{DENOMINATOR}}.
We move \dfrac{1}{DENOMINATOR} on the number line
\pink{NUMERATOR_2} times to reach
\pink{\dfrac{NUMERATOR_2}{DENOMINATOR}}.
Number line SOLUTION is correct.