Answer:
[tex]21\frac{1}{8}[/tex]
Step-by-step explanation:
1) Add the whole numbers first.
[tex]20+\frac{5}{8}+\frac{1}{2}[/tex]
2) 2 Find the Least Common Denominator (LCD) of[tex]\frac{5}{8},\frac{1}{2}[/tex]. 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.
[tex]20+\frac{5}{8}+\frac{1\times 4}{2\times 4}[/tex]
4) Simplify. Denominators are now the same.
[tex]20+\frac{5}{8}+\frac{4}{8}[/tex]
5) Join the denominators.
[tex]20+\frac{5+4}{8}[/tex]
6) Simplify.
[tex]20+\frac{9}{8}[/tex]
7) Convert [tex]\frac{9}{8}[/tex] to mixed fraction.
[tex]20+1\frac{1}{8}[/tex]
8) Simplify
[tex]21\frac{1}{8}[/tex]
Answer:
21 1/8
Step-by-step 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
