Step 1. Find the Least Common Denominator (LCD) of \(\frac{3}{14} , \frac{3}{7}\)
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 \(2*7=14\)
LCD = 14
Step 2. Make the denominators the same as the LCD
\(\frac{3}{14} - \frac{3*2}{7*2}\)
Step 3. Simplify. Denominators are now the same
\(\frac{3}{14} - \frac{6}{14}\)
Step 4. Join the denominators
\(\frac{3-6}{14}\)
Step 5. Simplify
\(- \frac{3}{14}\)
Done!
Decimal Form If Needed: -0.214286
