Question

2/11 + 3/5 in it's simplest form​

Answer 1

43/55.

Explanation:

`(2)/(11) +(3)/(5)`

Step 1: Explain/define.

To add fractions that have different denominators, you must first find the least common multiple (of the denominators).

An easy way to do this is to list the denominators' multiples.

Step 2: Solve.

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55

The smallest number both denominators have in common is 55.

Now, we change both fractions to where they have denominators of 55.

**WHATEVER YOU MULTIPLY THE DENOMINATOR BY, MULTIPLY IT BY THE NUMERATOR AS WELL**

`(2)/(11) *(5)/(5) =(10)/(55)`

`(3)/(5) *(11)/(11) =(33)/(55)`

Now, we add the fractions as normal, while keeping the denominators the same.

`(10)/(55) +(33)/(55) =(43)/(55)`

Step 3: Conclude.

43/55 is already in the simplest form. Therefore,
`2/11 + 3/5 = 43/55.`

Answer 2

6/55

Explanation: