To use the traditional way to subtract fractions with two different denominators, follow these steps:
- Find the least common multiple (LCM) of the two denominators.
- Increase each fraction to higher terms so that the denominator of each equals the LCM.
- Substitute these two new fractions for the original ones and subtract.
How do you add and subtract unlike denominators?
When the Denominators are Unlike or Different When all denominators are alike, simply add or subtract the numerators and place the result over the common denominator. The resulting fraction can be simplified to lowest terms or written as a mixed number.
How to do a prime factorization of a number?
Step 1: Perform the prime factorization of each number then write it in exponential form. Align the common prime factor base whenever possible. Step 2: For the numbers with a common prime factor base, select the prime number that has the highest power.
When do you stop factoring in a prime number?
We will not factor 2 or 3 any further because they are prime numbers. Once you get to the primes in your “tree”, they are the “leaves”, and you stop factoring in that “branch”. So 24 = 2 × 2 × 2 × 3. This is the prime factorization of 24. 5 is a prime number—it is a “leaf”.
How do you find the prime factorization of 30?
Find the prime factorizations of the two numbers. The prime factorization of 30 is 2 x 3 x 5. The prime factorization of 36 is 2 x 2 x 3 x 3. Find a number that appears on both prime factorizations. Cross it out once on each list and write it on a new line. For example, 2 is on both lists, so we write 2 on a new line.
When do you align the prime factor base?
Align the common prime factor base whenever possible. Step 2: For the numbers with a common prime factor base, select the prime number that has the highest power. The prime factor with the highest power implies that it occurs the most in the entire list.
