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834+514+512+68\frac{3}{4} + 5\frac{1}{4} + 5\frac{1}{2} + 6

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Evaluate numerical expressions involving whole numbersright chevron icon

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Q. 834+514+512+68\frac{3}{4} + 5\frac{1}{4} + 5\frac{1}{2} + 6
  1. Convert to Improper Fractions: Convert all mixed numbers to improper fractions for easier addition.\newline834=(8×4+3)/4=3548 \frac{3}{4} = (8\times4 + 3)/4 = \frac{35}{4}\newline514=(5×4+1)/4=2145 \frac{1}{4} = (5\times4 + 1)/4 = \frac{21}{4}\newline512=(5×2+1)/2=1125 \frac{1}{2} = (5\times2 + 1)/2 = \frac{11}{2}\newline6=61=2446 = \frac{6}{1} = \frac{24}{4}
  2. Add Improper Fractions: Add all the improper fractions together.\newlineSince the denominators of 354\frac{35}{4}, 214\frac{21}{4}, and 244\frac{24}{4} are the same (44), add them directly:\newline354+214+244=804\frac{35}{4} + \frac{21}{4} + \frac{24}{4} = \frac{80}{4}\newlineNow add 112\frac{11}{2}, convert it to have a denominator of 44:\newline112=224\frac{11}{2} = \frac{22}{4}\newline804+224=1024\frac{80}{4} + \frac{22}{4} = \frac{102}{4}
  3. Simplify Final Fraction: Simplify the final fraction. 1024=25.5\frac{102}{4} = 25.5

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