Respuesta :

Answer:

[tex]3\frac{3}{8}[/tex]

Step-by-step explanation:

Find the sum

[tex]1\frac{3}{4} +1\frac{5}{8}[/tex]

we know that

[tex]\frac{3}{4}=\frac{6}{8}[/tex]

substitute

[tex]1\frac{6}{8} +1\frac{5}{8}[/tex]

step 1

Separate the mixed number into a whole number and a fraction number

[tex]1+\frac{6}{8} +1+\frac{5}{8}[/tex]

step 2

Group the whole numbers an the fraction numbers

[tex](1+1)+(\frac{6}{8} +\frac{5}{8})[/tex]

step 3

Combine like terms

[tex](2)+(\frac{11}{8})[/tex]

Remember that

[tex]\frac{11}{8}=\frac{8}{8}+\frac{3}{8}=1+\frac{3}{8}[/tex]

substitute

[tex]2+1+\frac{3}{8}[/tex]

[tex]3+\frac{3}{8}=3\frac{3}{8}[/tex]

The answer is reasonable

Because

I know that 1 3/4 < 2 and 1 5/8 < 2

so

The sum of both numbers must be less than 4