Predict if the product will be greater than, less than or equal to the second factor 4/5 x 1 2/5 = y

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Predict if the product will be greater than, less than or equal to the second factor 4/5 x 1 2/5 = y

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Eirian 3 years 2021-09-04T16:21:37+00:00 1 Answers 22 views 0

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    2021-09-04T16:23:07+00:00

    Answer:

    The product will be less than the second factor.

    Step-by-step explanation:

    Given the expression

    \frac{4}{5}\:\times \:1\frac{2}{5}\:=y

    solving to determine the product value

    y=\:\frac{4}{5}\times \:\:1\frac{2}{5}

      =\frac{4}{5}\times \frac{7}{5}

    \mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}

      =\frac{4\times \:7}{5\times \:5}

      =\frac{28}{5\times \:5}

      =\frac{28}{25}

    As the value of the second factor is:

    1\frac{2}{5}=\frac{7}{5}=1.4

    And the product value is:

    y=\frac{28}{25}=1.12

    It is clear that the product value ‘y = 1.12’ is lesser than the second factor value ‘1.4’.

    i.e. 1.12 < 1.4

    Thus, the product will be less than the second factor.

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