Fraction Comparison - Problem Simplification - Mixed - One Changed Denominator (Level 2)

This math topic focuses on comparing fractions through various methods such as converting fractions with different denominators to like denominators and simplifying them for easier comparison. It combines basic arithmetic with an understanding of fractions to establish which fraction is greater, lesser, or if they are equal. The problems vary in complexity and require students to ascertain relationships between numerators and denominators after some fractions are either reduced or converted to equivalent fractions. These exercises enhance skills in fraction comparison by equipping students with the techniques needed to tackle real-world problems involving fractional comparisons.

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

Fraction Comparison - Problem Simplification - Mixed - One Changed Denominator

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Set this fraction comparison problem up correctly

\frac{8}{7}\;\; \bigcirc \;\;1\frac{10}{21}\\<, >, or = ?

Fraction Comparison - Problem Simplification - Mixed - One Changed Denominator Worksheet

Math worksheet on 'Fraction Comparison - Problem Simplification - Mixed - One Changed Denominator (Level 2)'. 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

$A LaTex expression showing 21 over 3 \;\; \bigcirc \;\;14 over 6 \\<, >, or = ?$

a $A LaTex expression showing 27 over 12 \;\; \bigcirc \;\;28 over 12$

b $A LaTex expression showing 14 over 6 \;\; \bigcirc \;\;14 over 6$

c $A LaTex expression showing 14 over 6 \;\; \bigcirc \;\;15 over 6$

d $A LaTex expression showing 49 over 21 \;\; \bigcirc \;\;42 over 21$

e $A LaTex expression showing 13 over 6 \;\; \bigcirc \;\;14 over 6$

f $A LaTex expression showing 16 over 6 \;\; \bigcirc \;\;14 over 6$

Set this fraction comparison problem up correctly

$A LaTex expression showing 17 over 7 \;\; \bigcirc \;\;21 over 21 \\<, >, or = ?$

a $A LaTex expression showing 51 over 21 \;\; \bigcirc \;\;43 over 21$

b $A LaTex expression showing 17 over 21 \;\; \bigcirc \;\;43 over 21$

c $A LaTex expression showing 374 over 154 \;\; \bigcirc \;\;315 over 154$

d $A LaTex expression showing 357 over 168 \;\; \bigcirc \;\;344 over 168$

e $A LaTex expression showing 51 over 21 \;\; \bigcirc \;\;44 over 21$

f $A LaTex expression showing 54 over 21 \;\; \bigcirc \;\;43 over 21$

Set this fraction comparison problem up correctly

$A LaTex expression showing 31 over 5 \;\; \bigcirc \;\;36 over 10 \\<, >, or = ?$

a $A LaTex expression showing 32 over 10 \;\; \bigcirc \;\;37 over 10$

b $A LaTex expression showing 176 over 55 \;\; \bigcirc \;\;180 over 55$

c $A LaTex expression showing 95 over 30 \;\; \bigcirc \;\;108 over 30$

d $A LaTex expression showing 31 over 10 \;\; \bigcirc \;\;36 over 10$

e $A LaTex expression showing 32 over 10 \;\; \bigcirc \;\;36 over 10$

f $A LaTex expression showing 34 over 10 \;\; \bigcirc \;\;36 over 10$

Set this fraction comparison problem up correctly

$A LaTex expression showing 11 over 2 \;\; \bigcirc \;\;6 over 4 \\<, >, or = ?$

a $A LaTex expression showing 8 over 4 \;\; \bigcirc \;\;6 over 4$

b $A LaTex expression showing 16 over 12 \;\; \bigcirc \;\;18 over 12$

c $A LaTex expression showing 6 over 4 \;\; \bigcirc \;\;7 over 4$

d $A LaTex expression showing 15 over 10 \;\; \bigcirc \;\;12 over 10$

e $A LaTex expression showing 6 over 4 \;\; \bigcirc \;\;6 over 4$

f $A LaTex expression showing 5 over 4 \;\; \bigcirc \;\;6 over 4$

Set this fraction comparison problem up correctly

$A LaTex expression showing 21 over 2 \;\; \bigcirc \;\;11 over 4 \\<, >, or = ?$

a $A LaTex expression showing 10 over 4 \;\; \bigcirc \;\;11 over 4$

b $A LaTex expression showing 10 over 4 \;\; \bigcirc \;\;12 over 4$

c $A LaTex expression showing 28 over 12 \;\; \bigcirc \;\;33 over 12$

d $A LaTex expression showing 9 over 4 \;\; \bigcirc \;\;11 over 4$

e $A LaTex expression showing 25 over 10 \;\; \bigcirc \;\;22 over 10$

f $A LaTex expression showing 12 over 4 \;\; \bigcirc \;\;11 over 4$

Set this fraction comparison problem up correctly

$A LaTex expression showing 12 over 3 \;\; \bigcirc \;\;7 over 6 \\<, >, or = ?$

a $A LaTex expression showing 12 over 6 \;\; \bigcirc \;\;7 over 6$

b $A LaTex expression showing 10 over 6 \;\; \bigcirc \;\;8 over 6$

c $A LaTex expression showing 18 over 12 \;\; \bigcirc \;\;14 over 12$

d $A LaTex expression showing 35 over 21 \;\; \bigcirc \;\;21 over 21$

e $A LaTex expression showing 10 over 6 \;\; \bigcirc \;\;7 over 6$

f $A LaTex expression showing 8 over 6 \;\; \bigcirc \;\;7 over 6$

Set this fraction comparison problem up correctly

$A LaTex expression showing 21 over 7 \;\; \bigcirc \;\;52 over 21 \\<, >, or = ?$

a $A LaTex expression showing 330 over 154 \;\; \bigcirc \;\;364 over 154$

b $A LaTex expression showing 48 over 21 \;\; \bigcirc \;\;52 over 21$

c $A LaTex expression showing 43 over 21 \;\; \bigcirc \;\;52 over 21$

d $A LaTex expression showing 45 over 21 \;\; \bigcirc \;\;52 over 21$

e $A LaTex expression showing 357 over 168 \;\; \bigcirc \;\;416 over 168$

f $A LaTex expression showing 45 over 21 \;\; \bigcirc \;\;53 over 21$