Question

Does anyone know this?
11 5/8+9 1/2 =

Answer 1

21 1/8

Explanation:

11 1/8 = 11.625

9 1/2 = 9.5

11.625 + 9.5 = 21. 125

21.125 = 21 125/1000

21 125/1000 = 21 1/8

if you need the answer in decimal form:

21.125

if you need the answer as a simplified fraction:

21 1/8

if you need the answer as an improper fraction:

169/8

Answer 2

`21(1)/(8)`

Explanation:

1) Add the whole numbers first.

`20+(5)/(8)+(1)/(2)`

2) 2 Find the Least Common Denominator (LCD) of
`(5)/(8),(1)/(2)`. In other words, find the Least Common Multiple (LCM) of 8,28,2.

Method 1: By Listing Multiples

1- List the multiples of each number.

Multiples of 8 : 8, ...

Multiples of 2 : 2, 4, 6, 8, ...

2- Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 88

Method 2: By Prime Factors

1- List the prime factors of each number.

Prime Factors of 8 : 2, 2, 2

Prime Factors of 2 : 2

2- Find the union of these primes.

2,2,2

3- Multiply these numbers: 2 * 2 * 2 = 8. This is the LCM.

LCM = 8

As a result,

LCD = 8

3) Make the denominators the same as the LCD.

`20+(5)/(8)+(1* 4)/(2* 4)`

4) Simplify. Denominators are now the same.

`20+(5)/(8)+(4)/(8)`

5) Join the denominators.

`20+(5+4)/(8)`

6) Simplify.

`20+(9)/(8)`

7) Convert
`(9)/(8)` to mixed fraction.

`20+1(1)/(8)`

8) Simplify

`21(1)/(8)`