Question

Which is the best reason why 1 3/10 + 2 5/10 is not equal to 5?

Answer 1

Answer and Step-by-step explanation:

Let's try to add these two mixed numbers together. We have
`1(3)/(10)` and
`2(5)/(10)`.

First, add the nonfractional parts together:

1 + 2 = 3

Now add the fractional parts. Because 3/10 and 5/10 already have a common denominator (10), we can simply add the numerators together:

`(3)/(10) +(5)/(10) =(3+5)/(10) =(8)/(10)`

Add 8/10 to our whole number 3:

3 + 8/10 =
`3(8)/(10) =3(4)/(5)`

Clearly,
`3(4)/(5)` ≠ 5, which is why 1 3/10 + 2 5/10 ≠ 5.

Hope this helps!

Answer 2

First, add the whole numbers

1 + 2 = 3

Second, add both fractions.

3/10 + 5/10 = 8/10

Third, simplify the fraction.

4/5

Fourth, put the number back together.

3 4/5

As you can see, 3 4/5 ≠ 5.

Best of Luck!