Answer:
![21(1)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/za62f94hpe3fp286a0bkdy6ff81x5s0vdv.png)
Explanation:
1) Add the whole numbers first.
![20+(5)/(8)+(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/sdkp1624lfxbiou5tva5jsq87sc0029jcs.png)
2) 2 Find the Least Common Denominator (LCD) of
. 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)](https://img.qammunity.org/2023/formulas/mathematics/college/ym08lo5h68exowheroxjyww5d6jmbtd9na.png)
4) Simplify. Denominators are now the same.
![20+(5)/(8)+(4)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/6h5vchvtdgqpuqgdhxm5wknl4bx3qz6i7n.png)
5) Join the denominators.
![20+(5+4)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/vzblvbv4cjrwqfocbez8mucoro5d8t6w6g.png)
6) Simplify.
![20+(9)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/fj1ty7dmsghypke7pn1ehahq1lah45s9wg.png)
7) Convert
to mixed fraction.
![20+1(1)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/hw9w4cibp4jwq1bg923g48dhmiyig1uua5.png)
8) Simplify
![21(1)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/za62f94hpe3fp286a0bkdy6ff81x5s0vdv.png)