Respuesta :

Answer:

4 1/12

Step-by-step explanation:

1 1/3 = 1 4/12

2 3/4 = 2 9/12

1 4/12 + 2 9/12 = 3 13/12 or 4 1/12

I hope this helps!

-TheBusinessMan

Answer: [tex]4\ \frac{1}{12}[/tex]

Step-by-step explanation:

We can convert the Mixed numbers to Improper fractions:

- Multiply the the whole number part by the denominator of the fraction.

- Add the product obtained and the numerator of the fraction.

- The sum obtained will be the new numerator.

- The denominator does not change.

Then:

[tex](1\ \frac{1}{3})+(2\ \frac{3}{4})=\frac{(1*3)+1}{3}+\frac{(4*2)+3}{4}=\frac{4}{3}+\frac{11}{4}[/tex]

Now find the Least Common Denominator (LCD) and add the fractions:

[tex]=\frac{16+33}{12}=\frac{49}{12}[/tex]

Finally, you can convert back to Mixed numbers:

-Divide the numerator by the denominator.

- Write the whole number.

- The remainder will be the new numerator.

- The denominator does not change.

Then:

[tex]=4\ \frac{1}{12}[/tex]

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