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{8}{3}\;\; \bigcirc \;\;2\frac{5}{11}\\<, >, 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 - Practice' Learn online: app.mobius.academy/math/units/fractions_practice/

Set this fraction comparison problem up correctly

$A LaTex expression showing 27 over 7 \;\; \bigcirc \;\;32 over 3 \\<, >, or = ?$

a $A LaTex expression showing 81 over 21 \;\; \bigcirc \;\;84 over 21$

b $A LaTex expression showing 108 over 28 \;\; \bigcirc \;\;98 over 28$

c $A LaTex expression showing 81 over 21 \;\; \bigcirc \;\;77 over 21$

d $A LaTex expression showing 84 over 21 \;\; \bigcirc \;\;77 over 21$

e $A LaTex expression showing 27 over 3 \;\; \bigcirc \;\;11 over 3$

f $A LaTex expression showing 81 over 24 \;\; \bigcirc \;\;88 over 24$

Set this fraction comparison problem up correctly

$A LaTex expression showing 17 over 11 \;\; \bigcirc \;\;13 over 7 \\<, >, or = ?$

a $A LaTex expression showing 136 over 88 \;\; \bigcirc \;\;121 over 88$

b $A LaTex expression showing 119 over 77 \;\; \bigcirc \;\;110 over 77$

c $A LaTex expression showing 126 over 77 \;\; \bigcirc \;\;110 over 77$

d $A LaTex expression showing 119 over 77 \;\; \bigcirc \;\;121 over 77$

e $A LaTex expression showing 119 over 84 \;\; \bigcirc \;\;120 over 84$

f $A LaTex expression showing 17 over 7 \;\; \bigcirc \;\;10 over 7$

Set this fraction comparison problem up correctly

$A LaTex expression showing 41 over 11 \;\; \bigcirc \;\;32 over 3 \\<, >, or = ?$

a $A LaTex expression showing 41 over 12 \;\; \bigcirc \;\;44 over 12$

b $A LaTex expression showing 123 over 33 \;\; \bigcirc \;\;132 over 33$

c $A LaTex expression showing 126 over 33 \;\; \bigcirc \;\;121 over 33$

d $A LaTex expression showing 123 over 33 \;\; \bigcirc \;\;121 over 33$

e $A LaTex expression showing 41 over 3 \;\; \bigcirc \;\;11 over 3$

f $A LaTex expression showing 164 over 44 \;\; \bigcirc \;\;154 over 44$

Set this fraction comparison problem up correctly

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

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

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

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

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

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

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

Set this fraction comparison problem up correctly

$A LaTex expression showing 16 over 7 \;\; \bigcirc \;\;17 over 11 \\<, >, or = ?$

a $A LaTex expression showing 143 over 77 \;\; \bigcirc \;\;119 over 77$

b $A LaTex expression showing 156 over 84 \;\; \bigcirc \;\;119 over 84$

c $A LaTex expression showing 154 over 77 \;\; \bigcirc \;\;119 over 77$

d $A LaTex expression showing 143 over 77 \;\; \bigcirc \;\;126 over 77$

e $A LaTex expression showing 154 over 88 \;\; \bigcirc \;\;136 over 88$

f $A LaTex expression showing 17 over 11 \;\; \bigcirc \;\;17 over 11$

Set this fraction comparison problem up correctly

$A LaTex expression showing 32 over 5 \;\; \bigcirc \;\;11 over 3 \\<, >, or = ?$

a $A LaTex expression showing 51 over 15 \;\; \bigcirc \;\;60 over 15$

b $A LaTex expression showing 68 over 20 \;\; \bigcirc \;\;55 over 20$

c $A LaTex expression showing 54 over 15 \;\; \bigcirc \;\;55 over 15$

d $A LaTex expression showing 51 over 15 \;\; \bigcirc \;\;55 over 15$

e $A LaTex expression showing 20 over 6 \;\; \bigcirc \;\;22 over 6$

f $A LaTex expression showing 11 over 3 \;\; \bigcirc \;\;11 over 3$

Set this fraction comparison problem up correctly

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

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

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

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

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

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

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