What does \(\frac { 1} { 2} \) + \(\frac { 1} { 8} \) equal in fraction form?

Step 1:

Find a common denominator: 

The least common denominator for \(\frac { 1} { 2} \) and \(\frac { 1} { 8} \) is 8. 
 

Step 2:

Convert fractions:  
\(\frac { 1} { 2} = \frac { 4} { 8} \) 
\(\frac { 1} { 8} \) remains \(\frac { 1} { 8} \) 
 

Step 3:

Add the fractions:  
\(\frac { 4} { 8} + \frac { 1} { 8} = \frac { 5} { 8} \)

Step 4:

Thus, \(\frac { 1} { 2} + \frac { 1} { 8} \) equals \(\frac { 5} { 8} \).

Supplemental Knowledge:

Adding fractions involves finding a common denominator so that the fractions can be combined. Here’s a step-by-step guide to adding \(\frac { 1} { 2} \) and \(\frac { 1} { 8} \):

1. Identify the Denominators: 

The denominators of the fractions you want to add are 2 and 8. 
2. Find the Least Common Denominator (LCD): 

The LCD of 2 and 8 is 8. 
3. Convert Each Fraction to an Equivalent Fraction with the LCD: 
For \(\frac { 1} { 2} \), multiply both the numerator and denominator by 4 to get \(\frac { 4} { 8} \). 
For \(\frac { 1} { 8} \), it remains \(\frac { 1} { 8} \) as it already has the denominator of 8.

4. Add the Fractions: 

Now that they have a common denominator, you can add them directly: 
\(\frac { 4} { 8} + \frac { 1} { 8} = \frac { 5} { 8} \).

So, \(1/2 + 1/8 = 5/8\).

From Concepts to Reality:

Imagine yourself baking, and need to combine different measurements of ingredients. If one recipe calls for half a cup and another calls for an eighth, knowing how to combine these fractions allows you to determine that five-eighths of a cup is needed in total.

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