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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Set this fraction comparison problem up correctly

3\frac{2}{3}\;\; \bigcirc \;\;\frac{19}{6}\\<, >, 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 - Practice' Learn online: app.mobius.academy/math/units/fractions_practice/

Set this fraction comparison problem up correctly

$A LaTex expression showing 22 over 7 \;\; \bigcirc \;\;38 over 14 \\<, >, or = ?$

a $A LaTex expression showing 44 over 14 \;\; \bigcirc \;\;50 over 14$

b $A LaTex expression showing 44 over 14 \;\; \bigcirc \;\;51 over 14$

c $A LaTex expression showing 22 over 14 \;\; \bigcirc \;\;50 over 14$

d $A LaTex expression showing 154 over 56 \;\; \bigcirc \;\;200 over 56$

e $A LaTex expression showing 330 over 105 \;\; \bigcirc \;\;371 over 105$

f $A LaTex expression showing 46 over 14 \;\; \bigcirc \;\;50 over 14$

Set this fraction comparison problem up correctly

$A LaTex expression showing 8 over 3 \;\; \bigcirc \;\;21 over 6 \\<, >, or = ?$

a $A LaTex expression showing 8 over 6 \;\; \bigcirc \;\;13 over 6$

b $A LaTex expression showing 56 over 21 \;\; \bigcirc \;\;45 over 21$

c $A LaTex expression showing 16 over 6 \;\; \bigcirc \;\;13 over 6$

d $A LaTex expression showing 24 over 12 \;\; \bigcirc \;\;26 over 12$

e $A LaTex expression showing 18 over 6 \;\; \bigcirc \;\;13 over 6$

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

Set this fraction comparison problem up correctly

$A LaTex expression showing 21 over 3 \;\; \bigcirc \;\;25 over 9 \\<, >, or = ?$

a $A LaTex expression showing 19 over 9 \;\; \bigcirc \;\;25 over 9$

b $A LaTex expression showing 70 over 30 \;\; \bigcirc \;\;75 over 30$

c $A LaTex expression showing 21 over 9 \;\; \bigcirc \;\;25 over 9$

d $A LaTex expression showing 21 over 9 \;\; \bigcirc \;\;26 over 9$

e $A LaTex expression showing 24 over 9 \;\; \bigcirc \;\;25 over 9$

f $A LaTex expression showing 81 over 36 \;\; \bigcirc \;\;100 over 36$

Set this fraction comparison problem up correctly

$A LaTex expression showing 4 over 3 \;\; \bigcirc \;\;17 over 9 \\<, >, or = ?$

a $A LaTex expression showing 4 over 9 \;\; \bigcirc \;\;16 over 9$

b $A LaTex expression showing 36 over 36 \;\; \bigcirc \;\;64 over 36$

c $A LaTex expression showing 15 over 9 \;\; \bigcirc \;\;16 over 9$

d $A LaTex expression showing 12 over 9 \;\; \bigcirc \;\;17 over 9$

e $A LaTex expression showing 12 over 9 \;\; \bigcirc \;\;16 over 9$

f $A LaTex expression showing 40 over 30 \;\; \bigcirc \;\;51 over 30$

Set this fraction comparison problem up correctly

$A LaTex expression showing 12 over 7 \;\; \bigcirc \;\;11 over 14 \\<, >, or = ?$

a $A LaTex expression showing 12 over 14 \;\; \bigcirc \;\;15 over 14$

b $A LaTex expression showing 84 over 56 \;\; \bigcirc \;\;60 over 56$

c $A LaTex expression showing 24 over 14 \;\; \bigcirc \;\;16 over 14$

d $A LaTex expression showing 180 over 105 \;\; \bigcirc \;\;112 over 105$

e $A LaTex expression showing 24 over 14 \;\; \bigcirc \;\;15 over 14$

f $A LaTex expression showing 26 over 14 \;\; \bigcirc \;\;15 over 14$

Set this fraction comparison problem up correctly

$A LaTex expression showing 10 over 3 \;\; \bigcirc \;\;32 over 6 \\<, >, or = ?$

a $A LaTex expression showing 20 over 6 \;\; \bigcirc \;\;21 over 6$

b $A LaTex expression showing 70 over 21 \;\; \bigcirc \;\;69 over 21$

c $A LaTex expression showing 20 over 6 \;\; \bigcirc \;\;20 over 6$

d $A LaTex expression showing 30 over 12 \;\; \bigcirc \;\;40 over 12$

e $A LaTex expression showing 10 over 6 \;\; \bigcirc \;\;20 over 6$

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

Set this fraction comparison problem up correctly

$A LaTex expression showing 7 over 2 \;\; \bigcirc \;\;33 over 4 \\<, >, or = ?$

a $A LaTex expression showing 35 over 10 \;\; \bigcirc \;\;36 over 10$

b $A LaTex expression showing 28 over 12 \;\; \bigcirc \;\;45 over 12$

c $A LaTex expression showing 16 over 4 \;\; \bigcirc \;\;15 over 4$

d $A LaTex expression showing 14 over 4 \;\; \bigcirc \;\;15 over 4$

e $A LaTex expression showing 7 over 4 \;\; \bigcirc \;\;15 over 4$

f $A LaTex expression showing 14 over 4 \;\; \bigcirc \;\;16 over 4$