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Fraction Addition - Missing Value (Simple) - Two Changed Denominators (Level 3)

This math topic focuses on finding the missing value in fraction addition equations that involve simplifying expressions with two changed denominators. It is part of an advanced unit on mixed fraction addition and subtraction. Each question presents a different fraction addition problem where one of the addends is missing, and students must select the correct fraction from multiple choices that balances the equation. The problems require knowledge of how to find common denominators, perform addition with fractions, and simplify the results. This is a higher-level exercise aimed at improving skills in handling complex fractional arithmetic.

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

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Add. Missing Value (Simple) - Two Changed Denominators

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

Find the fraction that makes this equation correct

___  +  25=3755 \_\_\_ \;+\;\frac{2}{5} = \frac{37}{55}

Fraction Addition - Missing Value (Simple) - Two Changed Denominators Worksheet

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Math worksheet on 'Fraction Addition - Missing Value (Simple) - Two Changed Denominators (Level 3)'. Part of a broader unit on 'Fraction Addition and Subtraction, Mixed - Advanced' Learn online: app.mobius.academy/math/units/fractions_addition_and_subtraction_mixed_advanced/
1
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;4 over 7 = 34 over 35
a A LaTex expression showing 12 over 39
b A LaTex expression showing 33 over 35
c A LaTex expression showing 33 over 37
d A LaTex expression showing 2 over 5
e A LaTex expression showing 11 over 35
f A LaTex expression showing 10 over 13
2
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;2 over 5 = 37 over 55
a A LaTex expression showing 3 over 11
b A LaTex expression showing 38 over 55
c A LaTex expression showing 41 over 50
d A LaTex expression showing 16 over 27
e A LaTex expression showing 41 over 55
f A LaTex expression showing 14 over 19
3
Find the fraction that makes this equation correct
A LaTex expression showing 10 over 11 \;+\; \ sub \ sub \ _ = 92 over 77
a A LaTex expression showing 2 over 7
b A LaTex expression showing 14 over 15
c A LaTex expression showing 173 over 847
d A LaTex expression showing 116 over 87
e A LaTex expression showing 118 over 77
f A LaTex expression showing 115 over 77
4
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;2 over 3 = 32 over 21
a A LaTex expression showing 6 over 7
b A LaTex expression showing 113 over 21
c A LaTex expression showing 11 over 63
d A LaTex expression showing 18 over 21
e A LaTex expression showing 112 over 23
f A LaTex expression showing 113 over 17
5
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;9 over 11 = 129 over 77
a A LaTex expression showing 17 over 11
b A LaTex expression showing 153 over 77
c A LaTex expression showing 127 over 43
d A LaTex expression showing 148 over 77
e A LaTex expression showing 126 over 11
f A LaTex expression showing 6 over 7
6
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;2 over 3 = 20 over 21
a A LaTex expression showing 1
b A LaTex expression showing 71 over 3
c A LaTex expression showing 2 over 7
d A LaTex expression showing 22 over 63
e A LaTex expression showing 11 over 21
f A LaTex expression showing 17 over 21
7
Find the fraction that makes this equation correct
A LaTex expression showing 4 over 11 \;+\; \ sub \ sub \ _ = 83 over 77
a A LaTex expression showing 16 over 77
b A LaTex expression showing 710 over 11
c A LaTex expression showing 11 over 38
d A LaTex expression showing 87 over 847
e A LaTex expression showing 110 over 77
f A LaTex expression showing 5 over 7