Respuesta :

remember than x and y/x=x+y/x so

1 and 3/8+1 and 7 /8=1+3/8+1+7/8=1+1+3/8+7/8
remember that if you have x/y+z/y then taht equals (x+z)/(y) so
3/8+7/8=(3+7)/8=10/8=1 and 2/8
1+1+1+2/8=3+2/8=3+1/4=3 and 1/4
1 3/8 + 1 7/8

First, since our denominators are both the same, this problem is much more easier. There would be a longer process if the denominators were not the same. To start off, we can go ahead and add our whole numbers. (Whole numbers: in simpler words, the number in front of the fraction. In this case, it would be 1 and 1).
[tex]2 + \frac{3}{8} + \frac{7}{8} [/tex]

Second, we can now join our denominators together to make one fraction instead of having two. Like I said, this is MUCH easier since our denominators are the same. We can then add 3 + 7 to get 10.
[tex]2 + \frac{3+7}{8} = 2 + \frac{10}{8} [/tex]

Third, we now need to convert 10/8 into a mixed fraction. To do this, we divide the numerator by the denominator. (10 ÷ 8 = 1 with a remainder of 2). Make sure to add the whole numbers.
[tex]2 + 1 \frac{2}{8} = 3 + \frac{2}{8} [/tex]

Fourth, thankfully this is our last step. We need to simplify 2/8 down into its simplest form. To do so, we will need to find the greatest common factor (GCF) of the numerator and the denominator. 

Factors of 2: 1, 2
Factors of 8: 1, 2, 4, 8

Looking at the listed factors of each number, 2 is our GCF. We can now divide the numerator and the denominator by the GCF we recently found which was 2.

[tex]2 \div 2 = 1 \\ 8 \div 2 = 4[/tex]

We have now found the answer to our problem. Don't forget to include the whole number in front of it.

Answer in fraction form: [tex]\fbox { 3 1/4 } [/tex]
Answer in decimal form: [tex]\fbox {3.25} [/tex]
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