Question

The sum of 2 1/3 and 3 1/2

Answer 1

`5(5)/(6)`

Explanation:

Convert the mixed number
`2(1)/(3)` into an improper fraction first by multiplying the denominator (3) by the whole number part (2) and add the numerator (1) to get the new numerator. Place the new numerator (7) over the old denominator (3).

`(7)/(3) +3(1)/(2)`

Convert the mixed number

`3(1)/(2)`

into an improper fraction first by multiplying the denominator (2) by the whole number part (3) and add the numerator (1) to get the new numerator. Place the new numerator (7) over the old denominator (2).

`(7)/(3)+(7)/(2)`

To write
`(7)/(3)` as a fraction with a common denominator, multiply by
`(2)/(2)`.

`(7)/(3) * (2)/(2) +(7)/(2)`

To write
`(7)/(2)` as a fraction with a common denominator, multiply by
`(3)/(3)`.

`(7)/(3) * (2)/(2) + (7)/(2) *(3)/(3)`

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

Combine.

`(7*2)/(3*2) +(7)/(2) *(3)/(3)`

Multiply 3 by 2.

`(7*2)/(6) +(7)/(2) *(3)/(3)`

Combine.

`(7*2)/(6) +(7*3)/(2*3)`

Combine the numerators over the common denominator.

`(7*2+7*3)/(6)`

Simplify the numerator.

Multiply 7 by 2.

`(14+7*3)/(6)`

Multiply 7 by 3.

`(14+21)/(6)`

Add 14 and 21.

`(35)/(6)`

The result can be shown in multiple forms.

Exact form:

`(35)/(6)`

Decimal from:

5.8333333

Mixed number form:

`5(5)/(6)`

Answer 2

Answer: 5 5/6

Explanation:

First, add the whole number parts. so 2 + 3 = 5

Next, find the LCD of 1/3 and 1/2. In this case it's 6

Then, add 2/6 to 3/6 so you get 5/6

Finally, add your fraction to your whole number to get 5 5/6

Hope this helps!