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Write the integer as a fraction.

Mathematics

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Answer

725\frac{72}{5}

Step-by-step solution

5 steps

Here is the solution to problem vii):

vii)

  1. Write the integer as a fraction.

    −12÷(−56)=−121÷−56-12 \div \left(\frac{-5}{6}\right) = \frac{-12}{1} \div \frac{-5}{6}
  2. To divide by a fraction, multiply by its reciprocal.

    The reciprocal of −56\frac{-5}{6} is 6−5\frac{6}{-5}.

    −121×6−5\frac{-12}{1} \times \frac{6}{-5}
  3. Multiply the numerators and the denominators.

    −12×61×(−5)\frac{-12 \times 6}{1 \times (-5)}
  4. Calculate the product.

    −72−5\frac{-72}{-5}
  5. Simplify the fraction.

    A negative divided by a negative results in a positive.

    725\frac{72}{5}
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