** vận dụng Fraction Addition: 1/2 + 4 5/8 **
When dealing with fractions, understanding how to add them is an essential skill. In this article, we'll explore how to add a simple fraction, 1/2, with a mixed number, 4 5/8.
Breaking Down the Problem
Before we dive into the solution, let's break down the problem:
- 1/2: a simple fraction with a numerator of 1 and a denominator of 2
- 4 5/8: a mixed number, consisting of a whole number part (4) and a fraction part (5/8)
Step-by-Step Solution
To add these two numbers, we need to follow a few steps:
Step 1: Convert the Mixed Number to an Improper Fraction
To add the mixed number to the simple fraction, we need to convert the mixed number to an improper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
4 5/8 = 37/8
Step 2: Add the Two Fractions
Now that we have two fractions, we can add them:
1/2 + 37/8
To add these fractions, we need to find the least common multiple (LCM) of the denominators, which are 2 and 8. The LCM of 2 and 8 is 8. So, we need to convert the first fraction to have a denominator of 8:
1/2 = 4/8
Now, we can add the two fractions:
4/8 + 37/8 = 41/8
Step 3: Simplify the Result
The result of the addition is an improper fraction, 41/8. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 41 and 8 is 1, so the fraction is already simplified:
41/8 = 5 1/8
The Final Answer
The result of adding 1/2 and 4 5/8 is 5 1/8.
