Fraction Comparison - Problem Simplification - Mixed - Two Changed Denominators (Level 3)

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.

Fraction Comparison - Problem Simplification - Mixed - Two Changed Denominators

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Set this fraction comparison problem up correctly

\frac{41}{11}\;\; \bigcirc \;\;3\frac{2}{3}\\<, >, or = ?

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

Math worksheet on 'Fraction Comparison - Problem Simplification - Mixed - Two Changed Denominators (Level 3)'. Part of a broader unit on 'Fractions - Mixed - Practice' Learn online: app.mobius.academy/math/units/fractions_practice/

Set this fraction comparison problem up correctly

$A LaTex expression showing 15 over 7 \;\; \bigcirc \;\;7 over 5 \\<, >, or = ?$

a $A LaTex expression showing 72 over 42 \;\; \bigcirc \;\;49 over 42$

b $A LaTex expression showing 60 over 35 \;\; \bigcirc \;\;49 over 35$

c $A LaTex expression showing 10 over 5 \;\; \bigcirc \;\;7 over 5$

d $A LaTex expression showing 65 over 40 \;\; \bigcirc \;\;56 over 40$

e $A LaTex expression showing 65 over 35 \;\; \bigcirc \;\;49 over 35$

f $A LaTex expression showing 60 over 35 \;\; \bigcirc \;\;56 over 35$

Set this fraction comparison problem up correctly

$A LaTex expression showing 41 over 11 \;\; \bigcirc \;\;36 over 7 \\<, >, or = ?$

a $A LaTex expression showing 287 over 77 \;\; \bigcirc \;\;308 over 77$

b $A LaTex expression showing 41 over 7 \;\; \bigcirc \;\;27 over 7$

c $A LaTex expression showing 294 over 77 \;\; \bigcirc \;\;297 over 77$

d $A LaTex expression showing 328 over 88 \;\; \bigcirc \;\;330 over 88$

e $A LaTex expression showing 287 over 84 \;\; \bigcirc \;\;324 over 84$

f $A LaTex expression showing 287 over 77 \;\; \bigcirc \;\;297 over 77$

Set this fraction comparison problem up correctly

$A LaTex expression showing 15 over 11 \;\; \bigcirc \;\;14 over 5 \\<, >, or = ?$

a $A LaTex expression showing 80 over 55 \;\; \bigcirc \;\;99 over 55$

b $A LaTex expression showing 15 over 5 \;\; \bigcirc \;\;9 over 5$

c $A LaTex expression showing 75 over 55 \;\; \bigcirc \;\;110 over 55$

d $A LaTex expression showing 75 over 60 \;\; \bigcirc \;\;108 over 60$

e $A LaTex expression showing 75 over 55 \;\; \bigcirc \;\;99 over 55$

f $A LaTex expression showing 90 over 66 \;\; \bigcirc \;\;110 over 66$

Set this fraction comparison problem up correctly

$A LaTex expression showing 19 over 7 \;\; \bigcirc \;\;22 over 5 \\<, >, or = ?$

a $A LaTex expression showing 100 over 35 \;\; \bigcirc \;\;84 over 35$

b $A LaTex expression showing 19 over 5 \;\; \bigcirc \;\;12 over 5$

c $A LaTex expression showing 95 over 35 \;\; \bigcirc \;\;91 over 35$

d $A LaTex expression showing 114 over 42 \;\; \bigcirc \;\;98 over 42$

e $A LaTex expression showing 95 over 35 \;\; \bigcirc \;\;84 over 35$

f $A LaTex expression showing 95 over 40 \;\; \bigcirc \;\;96 over 40$

Set this fraction comparison problem up correctly

$A LaTex expression showing 8 over 3 \;\; \bigcirc \;\;28 over 11 \\<, >, or = ?$

a $A LaTex expression showing 99 over 33 \;\; \bigcirc \;\;90 over 33$

b $A LaTex expression showing 88 over 33 \;\; \bigcirc \;\;93 over 33$

c $A LaTex expression showing 8 over 11 \;\; \bigcirc \;\;30 over 11$

d $A LaTex expression showing 88 over 44 \;\; \bigcirc \;\;120 over 44$

e $A LaTex expression showing 88 over 33 \;\; \bigcirc \;\;90 over 33$

f $A LaTex expression showing 32 over 12 \;\; \bigcirc \;\;32 over 12$

Set this fraction comparison problem up correctly

$A LaTex expression showing 40 over 11 \;\; \bigcirc \;\;34 over 5 \\<, >, or = ?$

a $A LaTex expression showing 200 over 60 \;\; \bigcirc \;\;228 over 60$

b $A LaTex expression showing 240 over 66 \;\; \bigcirc \;\;242 over 66$

c $A LaTex expression showing 205 over 55 \;\; \bigcirc \;\;209 over 55$

d $A LaTex expression showing 200 over 55 \;\; \bigcirc \;\;209 over 55$

e $A LaTex expression showing 200 over 55 \;\; \bigcirc \;\;220 over 55$

f $A LaTex expression showing 40 over 5 \;\; \bigcirc \;\;19 over 5$

Set this fraction comparison problem up correctly

$A LaTex expression showing 5 over 3 \;\; \bigcirc \;\;19 over 11 \\<, >, or = ?$

a $A LaTex expression showing 55 over 44 \;\; \bigcirc \;\;80 over 44$

b $A LaTex expression showing 5 over 11 \;\; \bigcirc \;\;20 over 11$

c $A LaTex expression showing 55 over 33 \;\; \bigcirc \;\;60 over 33$

d $A LaTex expression showing 20 over 12 \;\; \bigcirc \;\;21 over 12$

e $A LaTex expression showing 66 over 33 \;\; \bigcirc \;\;60 over 33$

f $A LaTex expression showing 55 over 33 \;\; \bigcirc \;\;63 over 33$