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Add.\newline−4310+512=-\frac{43}{10} + \frac{51}{2} = _____

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Add and subtract rational numbersright chevron icon

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Q. Add.\newline−4310+512=-\frac{43}{10} + \frac{51}{2} = _____
  1. Convert to common denominator: Convert both fractions to have a common denominator to simplify addition. The least common multiple of 1010 and 22 is 1010. \newline−4310+512=−4310+(51×510)=−4310+25510-\frac{43}{10} + \frac{51}{2} = -\frac{43}{10} + \left(\frac{51 \times 5}{10}\right) = -\frac{43}{10} + \frac{255}{10}
  2. Add fractions with common denominator: Add the two fractions now that they have the same denominator.\newline−4310+25510=21210-\frac{43}{10} + \frac{255}{10} = \frac{212}{10}
  3. Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by 22. \newline21210=1065\frac{212}{10} = \frac{106}{5}

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