Solve the following exercise:
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Solve the following exercise:
To solve the exercise , we must follow these steps:
Step 1: Find the Least Common Denominator (LCD).
The denominators we have are 10, 5, and 2. The LCD for these numbers is 10.
Step 2: Convert each fraction to have the common denominator of 10.
- is already with the denominator 10.
- Convert :
- Convert :
Step 3: Perform the addition and subtraction.
Now operate:
Step 4: Simplify the result.
The fraction simplifies to because both the numerator and denominator are divisible by 2.
Therefore, the solution to the problem is .
\( \frac{1}{3}+\frac{1}{4}= \)
Fractions represent parts of a whole. You can only add parts when they're the same size! and are different-sized pieces, so convert them first.
List multiples of the largest number (10): 10, 20, 30... Check if smaller numbers divide evenly. Since 5 and 2 both divide into 10, the LCD is 10!
Yes! Always check if your numerator and denominator share common factors. simplifies to because both divide by 2.
Sometimes! But using the true LCD keeps numbers smaller and calculations easier. Don't use shortcuts like multiplying all denominators together - that makes bigger, harder numbers.
You could, but fractions are often more exact. Plus, your math teacher wants to see you practice the LCD method since it works for all fraction problems!
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