Adding mixed 3

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

Correct answer:

x =  4.65

Step-by-step explanation:

$$\begin{gathered} a=1+{\displaystyle \frac{3}{4}}={\displaystyle \frac{7}{4}}=1\frac{3}{4}=1.75 \\ b=2+{\displaystyle \frac{9}{10}}={\displaystyle \frac{29}{10}}=2\frac{9}{10}=2.9 \\ x=a+b=1.75+2.9={\displaystyle \frac{93}{20}}=4\frac{13}{20}=4.65 \end{gathered}$$

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