Solve the following exercise:
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Solve the following exercise:
To solve the problem, let's work through the following steps:
Step 1: Identify the least common denominator (LCD) for all fractions. 
- The denominators are 8, 2, and 4. The LCM of these numbers is 8.
Step 2: Convert each fraction to have this common denominator of 8. 
-  is already with a denominator of 8. 
-  can be rewritten as  because . 
-  can be rewritten as  because .
Step 3: Perform the arithmetic operations. 
- Add  and , which gives .
- Subtract  from , giving .
Step 4: Simplify the answer if necessary. 
 is already in its simplest form.
Therefore, the solution to the problem is .
Complete the following exercise:
\( \frac{3}{4}:\frac{5}{6}=\text{?} \)
Because fractions represent parts of a whole! Adding and is like adding 3 pieces of pizza cut into 8 slices with 1 piece of pizza cut into 2 slices - they're different sizes!
List the multiples of each denominator until you find the smallest number that appears in all lists. For 8, 2, and 4: multiples of 8 are 8, 16, 24... Since 2 and 4 both divide into 8, the LCD is 8.
That's okay! In this problem we got which is proper, but improper fractions are valid answers too. You can convert to mixed numbers if needed, but simplified improper fractions are perfectly acceptable.
Yes! Follow the order of operations. In , first add , then subtract .
You could convert to decimals, but you might get rounding errors. Since , working with fractions keeps your answer exact and is usually easier for this type of problem.
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