Order the following fractions from least to greatest:
\dfrac{NUMERATOR}{D}
SORTER.init("sortable")
We can draw a picture to compare the fractions.
The order from least to greatest is: ANSWER.
Compare.
\dfrac{NUMERATOR}{DENOMINATOR_1} ____
\dfrac{NUMERATOR}{DENOMINATOR_2}
SOLUTION
<>=\large{<} means "less than".\large{>} means "greater than".\large{=} means "equal to".We can draw a picture to compare the fractions.
\dfrac{NUMERATOR}{DENOMINATOR_1} SOLUTION
\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 1 whole into
\blue{DENOMINATOR_1} equal segments, then taking NUMERATOR copies of them.
\dfrac{NUMERATOR}{\red{DENOMINATOR_2}} means dividing 1 whole into
\red{DENOMINATOR_2} equal segments, then taking NUMERATOR copies of them.
The larger the denominator, the smaller the segments, since the denominator tells us how many equal segments there are in the whole.
NUMERATOR copies of
\dfrac{NUMERATOR}{\blue{DENOMINATOR_1}} segments are larger than
NUMERATOR copies of
\dfrac{NUMERATOR}{\red{DENOMINATOR_2}} segments.
NUMERATOR copies of
\dfrac{NUMERATOR}{\blue{DENOMINATOR_1}} segments are smaller than
NUMERATOR copies of
\dfrac{NUMERATOR}{\red{DENOMINATOR_2}} segments.
\dfrac{NUMERATOR}{\blue{DENOMINATOR_1}} COMPARISON
\dfrac{NUMERATOR}{\red{DENOMINATOR_2}}
So number line SOLUTION is correct.