Solving problems with rational numbers in fraction form

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  1. Estimate and calculate.
    1. 45\frac{4}{5}- 56\frac{5}{6}
    2. -23\frac{2}{3}- (56)\left( { - \frac{5}{6}} \right)
    3. -38\frac{3}{8} + (14)\left( { - \frac{1}{4}} \right)
    4. - 25\frac{2}{5} + (37)\left( { - \frac{3}{7}} \right)
    5. 149\frac{4}{9} + (123)\left( { - 1\frac{2}{3}} \right)
    6. 114\frac{1}{4} - 218\frac{1}{8}
    1. -113\frac{1}{3}÷ (213)\left( { - 2\frac{1}{3}} \right)
    2. -314\frac{1}{4} ÷ 112\frac{1}{2}
    3. -59\frac{5}{9} ÷ 712\frac{7}{{12}}
    4. -16\frac{1}{6}× (37)\left( { - \frac{3}{7}} \right)
    5. 115\frac{1}{5} ÷ 116\frac{1}{6}
    6. 58\frac{5}{8}(49)\left( { - \frac{4}{9}} \right)
  2. Sam had $45 in his bank account. He first withdrew 15\frac{1}{5} of his saving. Then he took 18\frac{1}{8} out from his remaining money. How much money is still left in his bank account?
    Topic Notes
    Similar to the previous section, we will practice adding, subtracting, multiplying, and dividing rational numbers. Rational numbers can be expressed in two forms: fraction form and decimal form. This time, we will deal with rational numbers in fraction form.