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{24}{7}\;\; \bigcirc \;\;3\frac{17}{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 - Practice' Learn online: app.mobius.academy/math/units/fractions_practice/

Set this fraction comparison problem up correctly

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

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

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

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

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

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

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

Set this fraction comparison problem up correctly

$A LaTex expression showing 13 over 5 \;\; \bigcirc \;\;22 over 10 \\<, >, or = ?$

a $A LaTex expression showing 143 over 55 \;\; \bigcirc \;\;120 over 55$

b $A LaTex expression showing 26 over 10 \;\; \bigcirc \;\;22 over 10$

c $A LaTex expression showing 26 over 10 \;\; \bigcirc \;\;23 over 10$

d $A LaTex expression showing 28 over 10 \;\; \bigcirc \;\;22 over 10$

e $A LaTex expression showing 13 over 10 \;\; \bigcirc \;\;22 over 10$

f $A LaTex expression showing 65 over 30 \;\; \bigcirc \;\;66 over 30$

Set this fraction comparison problem up correctly

$A LaTex expression showing 9 over 5 \;\; \bigcirc \;\;18 over 10 \\<, >, or = ?$

a $A LaTex expression showing 20 over 10 \;\; \bigcirc \;\;18 over 10$

b $A LaTex expression showing 18 over 10 \;\; \bigcirc \;\;19 over 10$

c $A LaTex expression showing 9 over 10 \;\; \bigcirc \;\;18 over 10$

d $A LaTex expression showing 99 over 55 \;\; \bigcirc \;\;95 over 55$

e $A LaTex expression showing 45 over 30 \;\; \bigcirc \;\;54 over 30$

f $A LaTex expression showing 18 over 10 \;\; \bigcirc \;\;18 over 10$

Set this fraction comparison problem up correctly

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

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

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

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

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

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

$A LaTex expression showing 24 over 7 \;\; \bigcirc \;\;317 over 21 \\<, >, or = ?$

a $A LaTex expression showing 72 over 21 \;\; \bigcirc \;\;80 over 21$

b $A LaTex expression showing 504 over 168 \;\; \bigcirc \;\;640 over 168$

c $A LaTex expression showing 528 over 154 \;\; \bigcirc \;\;581 over 154$

d $A LaTex expression showing 72 over 21 \;\; \bigcirc \;\;81 over 21$

e $A LaTex expression showing 75 over 21 \;\; \bigcirc \;\;80 over 21$

f $A LaTex expression showing 24 over 21 \;\; \bigcirc \;\;80 over 21$

Set this fraction comparison problem up correctly

$A LaTex expression showing 19 over 7 \;\; \bigcirc \;\;213 over 14 \\<, >, or = ?$

a $A LaTex expression showing 19 over 14 \;\; \bigcirc \;\;41 over 14$

b $A LaTex expression showing 285 over 105 \;\; \bigcirc \;\;301 over 105$

c $A LaTex expression showing 133 over 56 \;\; \bigcirc \;\;164 over 56$

d $A LaTex expression showing 38 over 14 \;\; \bigcirc \;\;41 over 14$

e $A LaTex expression showing 40 over 14 \;\; \bigcirc \;\;41 over 14$

f $A LaTex expression showing 38 over 14 \;\; \bigcirc \;\;42 over 14$

Set this fraction comparison problem up correctly

$A LaTex expression showing 9 over 7 \;\; \bigcirc \;\;113 over 21 \\<, >, or = ?$

a $A LaTex expression showing 30 over 21 \;\; \bigcirc \;\;34 over 21$

b $A LaTex expression showing 27 over 21 \;\; \bigcirc \;\;34 over 21$

c $A LaTex expression showing 9 over 21 \;\; \bigcirc \;\;34 over 21$

d $A LaTex expression showing 198 over 154 \;\; \bigcirc \;\;245 over 154$

e $A LaTex expression showing 27 over 21 \;\; \bigcirc \;\;35 over 21$

f $A LaTex expression showing 189 over 168 \;\; \bigcirc \;\;272 over 168$