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.

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.