Adding mixed 3

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

Correct result:

x =  4.65


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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