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(13) 2 1/5 / 7 = and (14) 49 9/6 =

Mathematics

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Here are the solutions to the problems:

Part 2: Change each of these mixed numbers with improper fractions to whole or mixed numbers. Reduce your answers to lowest terms if necessary.

For (13) 21572\frac{15}{7}:

  1. Convert the improper fraction part 157\frac{15}{7} to a mixed number.

    157=217\frac{15}{7} = 2\frac{1}{7}
  2. Add this to the whole number part of the original mixed number.

    2+217=4172 + 2\frac{1}{7} = 4\frac{1}{7}

    The fraction is already in lowest terms.
    (13) 417\boxed{4\frac{1}{7}}

    For (14) 499649\frac{9}{6}:

  3. Convert the improper fraction part 96\frac{9}{6} to a mixed number.

    96=136\frac{9}{6} = 1\frac{3}{6}
  4. Reduce the fractional part 36\frac{3}{6} to lowest terms by dividing the numerator and denominator by their greatest common divisor, which is 3.

    136=13÷36÷3=1121\frac{3}{6} = 1\frac{3 \div 3}{6 \div 3} = 1\frac{1}{2}
  5. Add this to the whole number part of the original mixed number.

    49+112=501249 + 1\frac{1}{2} = 50\frac{1}{2}

    (14) 5012\boxed{50\frac{1}{2}}

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