Adding mixed 3

Why does 1 3/4 + 2 9/10 equal 4.65?
How do you solve this?

Result

x =  4.65

Solution:

a=1+34=74=1.75 b=2+910=2910=2.9  x=a+b=1.75+2.9=9320=4.65a = 1 + \dfrac{ 3 }{ 4 } = \dfrac{ 7 }{ 4 } = 1.75 \ \\ b = 2 + \dfrac{ 9 }{ 10 } = \dfrac{ 29 }{ 10 } = 2.9 \ \\ \ \\ x = a+b = 1.75+2.9 = \dfrac{ 93 }{ 20 } = 4.65

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