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Solve the following multiplication problems involving fractions and whole numbers: a) 1/2 26 b) 1/7 35 c) 1/5 25 d) 1/6 18 e) 1/3 18 f) 2/5 40 g) 3/5 * 40 h) ...

Mathematics

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Step-by-step solution

18 steps

Here are the solutions to the problems:

Part a· 2 steps

  1. Multiply the fraction by the whole number.

    12×26\frac{1}{2} \times 26
  2. Perform the multiplication.

    262=13\frac{26}{2} = 13

    The answer is 13\boxed{\text{13}}

Part b· 2 steps

  1. Multiply the fraction by the whole number.

    17×35\frac{1}{7} \times 35
  2. Perform the multiplication.

    357=5\frac{35}{7} = 5

    The answer is 5\boxed{\text{5}}

Part c· 2 steps

  1. Multiply the fraction by the whole number.

    15×25\frac{1}{5} \times 25
  2. Perform the multiplication.

    255=5\frac{25}{5} = 5

    The answer is 5\boxed{\text{5}}

Part d· 2 steps

  1. Multiply the fraction by the whole number.

    16×18\frac{1}{6} \times 18
  2. Perform the multiplication.

    186=3\frac{18}{6} = 3

    The answer is 3\boxed{\text{3}}

Part e· 2 steps

  1. Multiply the fraction by the whole number.

    13×18\frac{1}{3} \times 18
  2. Perform the multiplication.

    183=6\frac{18}{3} = 6

    The answer is 6\boxed{\text{6}}

Part f· 2 steps

  1. Multiply the fraction by the whole number.

    25×40\frac{2}{5} \times 40
  2. Perform the multiplication.

    2×405=805=16\frac{2 \times 40}{5} = \frac{80}{5} = 16

    The answer is 16\boxed{\text{16}}

Part g· 2 steps

  1. Multiply the fraction by the whole number.

    35×40\frac{3}{5} \times 40
  2. Perform the multiplication.

    3×405=1205=24\frac{3 \times 40}{5} = \frac{120}{5} = 24

    The answer is 24\boxed{\text{24}}

Part h· 2 steps

  1. Multiply the fraction by the whole number.

    14×40\frac{1}{4} \times 40
  2. Perform the multiplication.

    404=10\frac{40}{4} = 10

    The answer is 10\boxed{\text{10}}

Part h(i)· 2 steps

  1. Multiply the fraction by the whole number.

    13×45\frac{1}{3} \times 45
  2. Perform the multiplication.

    453=15\frac{45}{3} = 15

    The answer is 15\boxed{\text{15}}

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