Question

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

Answer 1

Answer and work provided in image attached.

Answer 2

1. Find the Least Common Denominator (LCD) of $\frac{2}{5} , \frac{1}{2}$
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

$\frac{2 * 2}{5 * 2} + \frac{1 * 5}{2 * 5}$

3. Simplify. Denominators are now the same

$\frac{4}{10} + \frac{5}{10}$

4. Join the denominators

$\frac{4+5}{10}$

5. Simplify

$\frac{9}{10}$

Done (Fact: Decimal Form 0.9)