This math topic revolves around the concept of fraction comparison with an emphasis on problem simplification involving mixed numbers and altered denominators. The theme is set in a context where students set up comparison problems appropriately and choose from multiple simplified fraction options to determine relational symbols like less than, greater than, or equal to. The problems test the ability to manipulate and compare fractions through various methods such as finding common denominators or transforming mixed numbers into improper fractions, ultimately aiming to enhance understanding of fraction operations and comparisons.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Fraction Comparison - Problem Simplification - Mixed - Two Changed Denominators Worksheet

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Fraction Comparison - Problem Simplification - Mixed - Two Changed Denominators
1
Set this fraction comparison problem up correctly
A LaTex expression showing 23 over 7 \;\; \bigcirc \;\;26 over 11
a A LaTex expression showing 23 over 11 \;\; \bigcirc \;\;24 over 11
b A LaTex expression showing 233 over 77 \;\; \bigcirc \;\;228 over 77
c A LaTex expression showing 233 over 88 \;\; \bigcirc \;\;232 over 88
2
Set this fraction comparison problem up correctly
A LaTex expression showing 12 over 7 \;\; \bigcirc \;\;8 over 5
a A LaTex expression showing 115 over 35 \;\; \bigcirc \;\;121 over 35
b A LaTex expression showing 112 over 42 \;\; \bigcirc \;\;114 over 42
c A LaTex expression showing 110 over 35 \;\; \bigcirc \;\;121 over 35
3
Set this fraction comparison problem up correctly
A LaTex expression showing 29 over 11 \;\; \bigcirc \;\;24 over 5
a A LaTex expression showing 240 over 55 \;\; \bigcirc \;\;244 over 55
b A LaTex expression showing 225 over 60 \;\; \bigcirc \;\;248 over 60
c A LaTex expression showing 235 over 55 \;\; \bigcirc \;\;244 over 55
4
Set this fraction comparison problem up correctly
A LaTex expression showing 310 over 11 \;\; \bigcirc \;\;23 over 7
a A LaTex expression showing 370 over 77 \;\; \bigcirc \;\;322 over 77
b A LaTex expression showing 4\;\; \bigcirc \;\;322 over 77
c A LaTex expression showing 370 over 84 \;\; \bigcirc \;\;324 over 84
5
Set this fraction comparison problem up correctly
A LaTex expression showing 110 over 11 \;\; \bigcirc \;\;10 over 7
a A LaTex expression showing 170 over 77 \;\; \bigcirc \;\;133 over 77
b A LaTex expression showing 2\;\; \bigcirc \;\;133 over 77
c A LaTex expression showing 23 over 7 \;\; \bigcirc \;\;13 over 7
6
Set this fraction comparison problem up correctly
A LaTex expression showing 11 over 7 \;\; \bigcirc \;\;12 over 5
a A LaTex expression showing 120 over 35 \;\; \bigcirc \;\;121 over 35
b A LaTex expression showing 21 over 5 \;\; \bigcirc \;\;12 over 5
c A LaTex expression showing 120 over 35 \;\; \bigcirc \;\;114 over 35
7
Set this fraction comparison problem up correctly
A LaTex expression showing 32 over 7 \;\; \bigcirc \;\;11 over 3
a A LaTex expression showing 36 over 21 \;\; \bigcirc \;\;314 over 21
b A LaTex expression showing 36 over 24 \;\; \bigcirc \;\;316 over 24
c A LaTex expression showing 36 over 21 \;\; \bigcirc \;\;4
8
Set this fraction comparison problem up correctly
A LaTex expression showing 12 over 5 \;\; \bigcirc \;\;5 over 3
a A LaTex expression showing 12 over 3 \;\; \bigcirc \;\;12 over 3
b A LaTex expression showing 16 over 15 \;\; \bigcirc \;\;110 over 15
c A LaTex expression showing 19 over 15 \;\; \bigcirc \;\;110 over 15