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Multiplication of a fractional number by a whole number: Let us illustrate it by the following example. Here shaded portion of each rectangular strip represents 2/3 by 4

Mathematics

ScanSolve AI Answer

Answer

378\frac{37}{8}

4584 \frac{5}{8}

Step-by-step solution

3 steps

Solving problem (i): 5−385 - \frac{3}{8}

  1. Convert the whole number to a fraction with the same denominator as the fraction being subtracted.

    5=5×88=4085 = \frac{5 \times 8}{8} = \frac{40}{8}
  2. Subtract the fractions.

    408−38=40−38\frac{40}{8} - \frac{3}{8} = \frac{40 - 3}{8}
  3. Simplify the numerator.

    378\frac{37}{8}

    This can also be written as a mixed number:

    378=458\frac{37}{8} = 4 \frac{5}{8}

    The final answer is 378\boxed{\frac{37}{8}} or 458\boxed{4 \frac{5}{8}}.

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