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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

___  +  911=12977 \_\_\_ \;+\;\frac{9}{11} = \frac{129}{77}

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 \ _ \;+\;2 over 3 = 49 over 33
a A LaTex expression showing 113 over 33
b A LaTex expression showing 15 over 11
c A LaTex expression showing 98 over 99
d A LaTex expression showing 9 over 11
e A LaTex expression showing 11 over 2
f A LaTex expression showing 15 over 18
2
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;2 over 5 = 47 over 55
a A LaTex expression showing 5 over 11
b A LaTex expression showing 25 over 29
c A LaTex expression showing 22 over 29
d A LaTex expression showing 10 over 11
e A LaTex expression showing 48 over 55
f A LaTex expression showing 49 over 55
3
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;2 over 3 = 37 over 33
a A LaTex expression showing 5 over 11
b A LaTex expression showing 15 over 31
c A LaTex expression showing 74 over 99
d A LaTex expression showing 13 over 16
e A LaTex expression showing 12 over 33
f A LaTex expression showing 18 over 33
4
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;2 over 11 = 69 over 77
a A LaTex expression showing 138 over 847
b A LaTex expression showing 5 over 7
c A LaTex expression showing 68 over 79
d A LaTex expression showing 64 over 77
e A LaTex expression showing 71 over 847
f A LaTex expression showing 10 over 11
5
Find the fraction that makes this equation correct
A LaTex expression showing \ sub \ sub \ _ \;+\;4 over 5 = 94 over 55
a A LaTex expression showing 137 over 55
b A LaTex expression showing 143 over 55
c A LaTex expression showing 140 over 59
d A LaTex expression showing 10 over 11
e A LaTex expression showing 13 over 4
f A LaTex expression showing 140 over 53
6
Find the fraction that makes this equation correct
A LaTex expression showing 4 over 7 \;+\; \ sub \ sub \ _ = 48 over 35
a A LaTex expression showing 111 over 38
b A LaTex expression showing 110 over 37
c A LaTex expression showing 192 over 245
d A LaTex expression showing 117 over 35
e A LaTex expression showing 113 over 35
f A LaTex expression showing 4 over 5
7
Find the fraction that makes this equation correct
A LaTex expression showing 4 over 5 \;+\; \ sub \ sub \ _ = 69 over 55
a A LaTex expression showing 5 over 11
b A LaTex expression showing 11 over 5
c A LaTex expression showing 115 over 58
d A LaTex expression showing 118 over 55
e A LaTex expression showing 117 over 52
f A LaTex expression showing 143 over 5