8/12 - 4/8 as a Fraction
To subtract fractions, they must have the same denominator. Let's find the least common multiple (LCM) of 12 and 8.
Finding the LCM
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 8: 1, 2, 4, 8
The least common multiple of 12 and 8 is 24.
Converting Fractions
- 8/12: To get a denominator of 24, multiply both numerator and denominator by 2: (8 * 2) / (12 * 2) = 16/24
- 4/8: To get a denominator of 24, multiply both numerator and denominator by 3: (4 * 3) / (8 * 3) = 12/24
Subtracting the Fractions
Now that the fractions have the same denominator, we can subtract:
16/24 - 12/24 = (16 - 12) / 24 = 4/24
Simplifying the Result
The fraction 4/24 can be simplified by dividing both numerator and denominator by their greatest common factor, which is 4:
4/24 = (4/4) / (24/4) = 1/6
Therefore, 8/12 - 4/8 as a fraction is 1/6.
