Fraction Comparison - Problem Simplification - Mixed - One Changed Denominator (Level 3)

This math topic focuses on comparing fractions through problem simplification techniques, specifically adjusting one denominator to facilitate comparison. It involves setting up fraction comparison problems correctly by identifying equivalent fractions or creating common denominators. The aim is to determine the relationship among fractions by comparison signs: less than, greater than, or equal to. The complexity is indicated as 'Level 3', suggesting intermediate difficulty in the broader category of introductory fraction comparison.

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

\frac{27}{7}\;\; \bigcirc \;\;3\frac{13}{21}\\<, >, or = ?

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

Math worksheet on 'Fraction Comparison - Problem Simplification - Mixed - One Changed Denominator (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

$A LaTex expression showing 34 over 5 \;\; \bigcirc \;\;39 over 10 \\<, >, or = ?$

a $A LaTex expression showing 38 over 10 \;\; \bigcirc \;\;39 over 10$

b $A LaTex expression showing 110 over 30 \;\; \bigcirc \;\;117 over 30$

c $A LaTex expression showing 209 over 55 \;\; \bigcirc \;\;195 over 55$

d $A LaTex expression showing 40 over 10 \;\; \bigcirc \;\;39 over 10$

e $A LaTex expression showing 38 over 10 \;\; \bigcirc \;\;40 over 10$

f $A LaTex expression showing 34 over 10 \;\; \bigcirc \;\;39 over 10$

Set this fraction comparison problem up correctly

$A LaTex expression showing 10 over 7 \;\; \bigcirc \;\;12 over 14 \\<, >, or = ?$

a $A LaTex expression showing 150 over 105 \;\; \bigcirc \;\;119 over 105$

b $A LaTex expression showing 20 over 14 \;\; \bigcirc \;\;17 over 14$

c $A LaTex expression showing 10 over 14 \;\; \bigcirc \;\;16 over 14$

d $A LaTex expression showing 22 over 14 \;\; \bigcirc \;\;16 over 14$

e $A LaTex expression showing 70 over 56 \;\; \bigcirc \;\;64 over 56$

f $A LaTex expression showing 20 over 14 \;\; \bigcirc \;\;16 over 14$

Set this fraction comparison problem up correctly

$A LaTex expression showing 11 over 3 \;\; \bigcirc \;\;32 over 9 \\<, >, or = ?$

a $A LaTex expression showing 110 over 30 \;\; \bigcirc \;\;96 over 30$

b $A LaTex expression showing 33 over 9 \;\; \bigcirc \;\;30 over 9$

c $A LaTex expression showing 99 over 36 \;\; \bigcirc \;\;116 over 36$

d $A LaTex expression showing 36 over 9 \;\; \bigcirc \;\;29 over 9$

e $A LaTex expression showing 33 over 9 \;\; \bigcirc \;\;29 over 9$

f $A LaTex expression showing 11 over 9 \;\; \bigcirc \;\;29 over 9$

Set this fraction comparison problem up correctly

$A LaTex expression showing 32 over 5 \;\; \bigcirc \;\;34 over 10 \\<, >, or = ?$

a $A LaTex expression showing 32 over 10 \;\; \bigcirc \;\;34 over 10$

b $A LaTex expression showing 100 over 30 \;\; \bigcirc \;\;102 over 30$

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

d $A LaTex expression showing 187 over 55 \;\; \bigcirc \;\;170 over 55$

e $A LaTex expression showing 34 over 10 \;\; \bigcirc \;\;35 over 10$

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

Set this fraction comparison problem up correctly

$A LaTex expression showing 13 over 7 \;\; \bigcirc \;\;12 over 14 \\<, >, or = ?$

a $A LaTex expression showing 91 over 56 \;\; \bigcirc \;\;64 over 56$

b $A LaTex expression showing 28 over 14 \;\; \bigcirc \;\;16 over 14$

c $A LaTex expression showing 195 over 105 \;\; \bigcirc \;\;119 over 105$

d $A LaTex expression showing 26 over 14 \;\; \bigcirc \;\;17 over 14$

e $A LaTex expression showing 26 over 14 \;\; \bigcirc \;\;16 over 14$

f $A LaTex expression showing 13 over 14 \;\; \bigcirc \;\;16 over 14$

Set this fraction comparison problem up correctly

$A LaTex expression showing 25 over 7 \;\; \bigcirc \;\;47 over 21 \\<, >, or = ?$

a $A LaTex expression showing 441 over 168 \;\; \bigcirc \;\;376 over 168$

b $A LaTex expression showing 418 over 154 \;\; \bigcirc \;\;329 over 154$

c $A LaTex expression showing 47 over 21 \;\; \bigcirc \;\;47 over 21$

d $A LaTex expression showing 57 over 21 \;\; \bigcirc \;\;48 over 21$

e $A LaTex expression showing 57 over 21 \;\; \bigcirc \;\;47 over 21$

f $A LaTex expression showing 60 over 21 \;\; \bigcirc \;\;47 over 21$

Set this fraction comparison problem up correctly

$A LaTex expression showing 5 over 3 \;\; \bigcirc \;\;15 over 6 \\<, >, or = ?$

a $A LaTex expression showing 5 over 6 \;\; \bigcirc \;\;11 over 6$

b $A LaTex expression showing 10 over 6 \;\; \bigcirc \;\;11 over 6$

c $A LaTex expression showing 35 over 21 \;\; \bigcirc \;\;36 over 21$

d $A LaTex expression showing 12 over 6 \;\; \bigcirc \;\;11 over 6$

e $A LaTex expression showing 15 over 12 \;\; \bigcirc \;\;22 over 12$

f $A LaTex expression showing 10 over 6 \;\; \bigcirc \;\;12 over 6$