Step 1. Find the Least Common Denominator (LCD) of [tex] \frac{3}{14} , \frac{3}{7} [/tex]
Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.
Multiples of 14 : 14,......
Multiples of 7 : 7, 14, ......
Therefore, the LCD is 14.
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Prime Factors of 14 : 2, 7
Prime Factors of 7 : 7
Therefore, the LCD is [tex]2*7=14[/tex]
LCD = 14
Step 2. Make the denominators the same as the LCD
[tex] \frac{3}{14} - \frac{3*2}{7*2} [/tex]
Step 3. Simplify. Denominators are now the same
[tex] \frac{3}{14} - \frac{6}{14} [/tex]
Step 4. Join the denominators
[tex] \frac{3-6}{14} [/tex]
Step 5. Simplify
[tex]- \frac{3}{14} [/tex]
Done!
Decimal Form If Needed: -0.214286
