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Subtract.\newline310−110=\frac{3}{10} - \frac{1}{10} = _____

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Add and subtract rational numbersright chevron icon

Full solution

Q. Subtract.\newline310−110=\frac{3}{10} - \frac{1}{10} = _____
  1. Write Subtraction Problem: Write the subtraction problem with a common denominator.\newline310−110\frac{3}{10} - \frac{1}{10}\newlineBoth fractions have the same denominator, so we can subtract the numerators directly.
  2. Subtract Numerators: Subtract the numerators.\newline310−110=(3−1)10\frac{3}{10} - \frac{1}{10} = \frac{(3-1)}{10}\newlinePerform the subtraction: 3−1=23 - 1 = 2.
  3. Write Result as Fraction: Write the result as a fraction. 210\frac{2}{10} This is the result of the subtraction, but it can be simplified.
  4. Simplify Fraction: Simplify the fraction. \newline210\frac{2}{10} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newline210=(2/2)(10/2)=15\frac{2}{10} = \frac{(2/2)}{(10/2)} = \frac{1}{5}

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