How do you subtract fractions with different denominators? Subtracting fractions with unlike denominators can sometimes seem daunting, but with the right approach, it can be a straightforward process. In this article, we will explore the steps and strategies needed to subtract fractions with different denominators and make the process easier to understand.
In order to subtract fractions with different denominators, you first need to find a common denominator. This is the smallest number that both denominators can divide into without leaving a remainder. To find the common denominator, you can list the multiples of each denominator and identify the smallest number that appears in both lists. Alternatively, you can use the least common multiple (LCM) of the two denominators.
Once you have found the common denominator, you need to convert each fraction to an equivalent fraction with that denominator. To do this, multiply the numerator and denominator of each fraction by the same number. This will not change the value of the fraction, but it will give you fractions with the same denominator.
For example, let’s say you want to subtract the fractions 1/3 and 1/4. The common denominator of 3 and 4 is 12. To convert 1/3 to an equivalent fraction with a denominator of 12, you multiply the numerator and denominator by 4, resulting in 4/12. To convert 1/4 to an equivalent fraction with a denominator of 12, you multiply the numerator and denominator by 3, resulting in 3/12.
Now that both fractions have the same denominator, you can subtract the numerators and keep the denominator. In our example, 4/12 – 3/12 equals 1/12. This is the final answer to the subtraction problem.
It’s important to note that when subtracting fractions with different denominators, you should only subtract the numerators and keep the denominator. This is because the denominators represent the units of measurement, and changing the denominator would change the meaning of the fraction.
In conclusion, subtracting fractions with different denominators involves finding a common denominator, converting each fraction to an equivalent fraction with that denominator, and then subtracting the numerators while keeping the denominator. By following these steps, you can easily subtract fractions with different denominators and develop a better understanding of fraction operations.
