Solve the following exercise:
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Solve the following exercise:
To solve the problem , we will follow these steps:
Step 1: Find the least common denominator (LCD).
The denominators are 8, 2, and 4. The least common multiple of these numbers is 8.
Step 2: Convert each fraction to have a denominator of 8.
- already has the denominator 8.
- .
- .
Step 3: Perform the arithmetic operations.
First, add and :
.
Then, subtract from :
.
Therefore, the solution to the problem is .
\( \frac{1}{3}+\frac{1}{4}= \)
Because fractions represent parts of a whole. You can only add parts when they're the same size! and are different sized pieces, so you need to make them the same size first.
List the multiples of the largest number (8): 8, 16, 24... Check if smaller numbers divide evenly into 8. Since 2 goes into 8 and 4 goes into 8, the LCD is 8!
If you pick a number that's too small, some fractions won't convert properly. If it's too big, your math still works but is unnecessarily complicated. Always use the smallest number that all denominators divide into evenly.
is already in lowest terms since 7 and 8 share no common factors except 1. Always check if your answer can be simplified by finding the GCD of numerator and denominator.
Order of operations says addition and subtraction have equal priority, so you work left to right: , then .
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