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"What should be added to (8)/(14) to get (-2)/(7)?"

Mathematics

ScanSolve AI Answer

Answer

−67\frac{-6}{7}

Step-by-step solution

4 steps
  1. Understand the question.

    The question asks: "What should be added to 814\frac{8}{14} to get −27\frac{-2}{7}?"
    Let the number to be added be xx.
    So, we can write the equation:

    814+x=−27\frac{8}{14} + x = \frac{-2}{7}
  2. Simplify the initial fraction 814\frac{8}{14}.

    Both 8 and 14 are divisible by 2.

    814=8÷214÷2=47\frac{8}{14} = \frac{8 \div 2}{14 \div 2} = \frac{4}{7}

    Now the equation becomes:

    47+x=−27\frac{4}{7} + x = \frac{-2}{7}
  3. Isolate xx by subtracting 47\frac{4}{7} from both sides of the equation.

    x=−27−47x = \frac{-2}{7} - \frac{4}{7}
  4. Perform the subtraction.

    Since the denominators are already the same, subtract the numerators.

    x=−2−47x = \frac{-2 - 4}{7} x=−67x = \frac{-6}{7}

    The number that should be added is −67\frac{-6}{7}.

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