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^{1}⁄_{3} + ^{1}⁄_{2} = ^{5}⁄_{6}

^{1}⁄_{3} + ^{3}⁄_{4} = 1 ^{1}⁄_{12}

^{2}⁄_{3} + ^{1}⁄_{4} = ^{11}⁄_{12}


^{3}⁄_{4} + ^{1}⁄_{6} = ^{11}⁄_{12}

^{1}⁄_{6} + ^{1}⁄_{4} = ^{5}⁄_{12}

^{3}⁄_{8} + ^{1}⁄_{6} = ^{13}⁄_{24}


^{2}⁄_{5} + ^{1}⁄_{4} = ^{13}⁄_{20}

^{4}⁄_{5} + ^{5}⁄_{6} = 1 ^{19}⁄_{30}

^{5}⁄_{8} + ^{3}⁄_{5} = 1 ^{9}⁄_{40}


^{4}⁄_{16} + ^{5}⁄_{8} = ^{7}⁄_{8}

^{7}⁄_{8} + ^{9}⁄_{32} = 1 ^{5}⁄_{32}

^{3}⁄_{16} + ^{3}⁄_{4} = ^{15}⁄_{16}


^{3}⁄_{5} + ^{7}⁄_{15} = 1 ^{1}⁄_{15}

^{1}⁄_{32} + ^{1}⁄_{8} = ^{5}⁄_{32}

^{3}⁄_{7} + ^{3}⁄_{6} = ^{13}⁄_{14}


^{5}⁄_{12} + ^{17}⁄_{60} = ^{7}⁄_{10}

^{1}⁄_{4} + ^{1}⁄_{3} = ^{7}⁄_{12}

^{4}⁄_{9} + ^{7}⁄_{18} = ^{5}⁄_{6}

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Related Resources
The various resources listed below are aligned to the same standard, (5NF01) taken from the CCSM (Common Core Standards For Mathematics) as the Fractions Worksheet shown above.
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
Calculator
Example/Guidance
Lesson
Worksheet
 Adding Fractions Graphically
 Adding Mixed Numbers (different denominator) e.g. 5 1/8 + 6 2/5
 Subtracting Fractions (different denominator) e.g. 2/3 – 1/4
 Subtracting Mixed Numbers (different denominator) e.g. 6 1/8 – 6 2/5