Question

For math: Add: (there both fractions) 2/5+1/2

Answer 1

1. Find the Least Common Denominator (LCD) of
`(2)/(5) , (1)/(2)`
Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

5: 5,10
2: 2, 4, 6, 8,10

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.

5 : 5
2 : 2
Therefore, the LCD is 2 x 5 = 10
2. Make the denominators the same as the LCD


`(2 * 2)/(5 * 2) + (1 * 5)/(2 * 5)`

3. Simplify. Denominators are now the same


`(4)/(10) + (5)/(10)`

4. Join the denominators


`(4+5)/(10)`

5. Simplify


`(9)/(10)`

Done (Fact: Decimal Form 0.9)

Answer 2

Answer and work provided in image attached.