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30 July, 23:20

In seventh grade, Emile grew 3 7/10 cm, and in eighth grade he grew 4 2/5 cm. How much did his height increase during these two years? The answer should be written as a proper mixed number and should be simplified, if possible.

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  1. 31 July, 02:24
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    8¹/₁₀ cm

    Step-by-step explanation:

    To get Emile's increase in height, we add the two numbers.

    3⁷/₁₀

    +4⅖

    Change the denominators to their lowest common multiple (10)

    3⁷/₁₀

    +4⁴/₁₀

    Add integers and fractions

    3⁷/₁₀

    +4⁴/₁₀

    7¹¹/₁₀

    Convert the improper fraction to a mixed number

    11/10 = (10 + 1) / 10 = 1¹/₁₀

    Add the 1 to the 7

    7 + 1¹/₁₀ = 8¹/₁₀ cm

    Emile grew 8¹/₁₀ cm in two years.
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