Subtract rational number is practice
To subtract rational numbers, you need to follow these steps:
Step 1: Identify the rational numbers you want to subtract.
Step 2: Ensure that both rational numbers have a common denominator. If they don't, find the least common multiple (LCM) of the denominators and rewrite both rational numbers with the same denominator.
Step 3: Once you have the rational numbers with the same denominator, subtract the numerators and keep the denominator the same.
Step 4: Simplify the resulting fraction, if necessary, by reducing the numerator and denominator to their lowest terms.
Let's look at an example:
Example: Subtract 3/4 from 5/6.
Step 1: The rational numbers we want to subtract are 3/4 and 5/6.
Step 2: The denominators are 4 and 6, which can be written as 2*2 and 2*3, respectively. To make them have a common denominator, we need to find the LCM (2*2*3 = 12).
Step 3: Rewrite both rational numbers with the denominator 12: 3/4 becomes 9/12, and 5/6 becomes 10/12.
Step 4: Subtract the numerators and keep the denominator the same: 10/12 - 9/12 = 1/12.
Final answer: 1/12.
So, the difference between 3/4 and 5/6 is 1/12.
To subtract two rational numbers, you can follow these steps:
Step 1: Find a common denominator for the two rational numbers. This is the number that can be divided evenly by the denominators of both fractions.
Step 2: Convert both rational numbers to have the same denominator by multiplying the numerator and denominator of each fraction by the same number.
Step 3: Once both fractions have the same denominator, subtract the numerators and write the result over the common denominator.
Step 4: If possible, simplify the resulting fraction by reducing it to its lowest terms.
Let's take an example to illustrate the steps:
Example:
Subtract 3/4 from 7/8.
Step 1: The common denominator for 4 and 8 is 8.
Step 2: Convert the fractions to have the same denominator:
3/4 = (3/4) * (2/2) = 6/8 (multiply numerator and denominator by 2)
7/8 = 7/8
Step 3: Subtract the numerators and write the result over the common denominator:
(7/8) - (6/8) = (7 - 6)/8 = 1/8
Step 4: Since the fraction 1/8 cannot be simplified further, the final result is 1/8.
Therefore, 7/8 - 3/4 = 1/8.