** FRACTION OPERATIONS **
In this article, we will explore the operations of fractions, specifically the calculation of 1/2 - 1/4 + 1/8.
Understanding Fractions
Before diving into the calculation, let's review the basics of fractions. A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction 1/2, the numerator is 1 and the denominator is 2.
The Calculation
Now, let's evaluate the expression 1/2 - 1/4 + 1/8.
Step 1: Subtract 1/4 from 1/2
To subtract 1/4 from 1/2, we need to find a common denominator between the two fractions. The least common multiple (LCM) of 2 and 4 is 4. So, we can convert 1/2 to 2/4.
1/2 = 2/4 1/4 = 1/4
Now, subtract 1/4 from 2/4:
2/4 - 1/4 = 1/4
Step 2: Add 1/8 to the result
To add 1/8 to 1/4, we need to find a common denominator between the two fractions. The least common multiple (LCM) of 4 and 8 is 8. So, we can convert 1/4 to 2/8.
1/4 = 2/8 1/8 = 1/8
Now, add 1/8 to 2/8:
2/8 + 1/8 = 3/8
The Final Answer
Therefore, the result of the expression 1/2 - 1/4 + 1/8 is:
1/2 - 1/4 + 1/8 = 3/8
