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Solve the following problems: 3. 4 (2)/(3) - 1 (1)/(3) 4. Calculate 40% of £13 5. Calculate 295 * 17

Mathematics

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Step-by-step solution

8 steps

Here are the solutions to the problems.

3.

  1. Subtract the whole numbers.

    4−1=34 - 1 = 3
  2. Subtract the fractional parts.

    Since the denominators are the same, subtract the numerators.

    23−13=2−13=13\frac{2}{3} - \frac{1}{3} = \frac{2 - 1}{3} = \frac{1}{3}
  3. Combine the whole number and fractional parts.

    3+13=3133 + \frac{1}{3} = 3 \frac{1}{3}

    The result is 313\boxed{3 \frac{1}{3}}.

    4.

  4. Convert the percentage to a decimal.

    40%=40100=0.4040\% = \frac{40}{100} = 0.40
  5. Multiply the decimal by the amount.

    0.40×£130.40 \times \pounds 13 0.40×13=5.200.40 \times 13 = 5.20

    The result is £5.20\boxed{\pounds 5.20}.

    5.

  6. Multiply 295 by 7.

    295×7=2065295 \times 7 = 2065
  7. Multiply 295 by 10.

    295×10=2950295 \times 10 = 2950
  8. Add the results from Step 1 and Step 2.

    2065+2950=50152065 + 2950 = 5015

    The product is 5015\boxed{5015}.

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