Solve the following exercise:
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Solve the following exercise:
Let's try to find the least common multiple (LCM) between 8 and 3
To find the least common multiple, we need to find a number that is divisible by both 8 and 3
In this case, the common multiple is 24
Now we'll multiply each fraction by the appropriate number to reach the denominator 24
We'll multiply the first fraction by 3
We'll multiply the second fraction by 8
Now we'll combine and get:
\( \frac{2}{4}+\frac{1}{4}= \)\( \)
Because and represent different-sized pieces! It's like adding 2 slices from a pizza cut into 8 pieces with 2 slices from a pizza cut into 3 pieces - you need equal-sized pieces first.
List multiples of each number: 8: 8, 16, 24, 32... and 3: 3, 6, 9, 12, 15, 18, 21, 24... The first number that appears in both lists is your LCD, which is 24.
It's good practice to check if you can simplify! can be simplified by dividing both parts by 2 to get , but many problems accept either form.
When denominators share no common factors (like 5 and 7), simply multiply them together to get your LCD. For example, LCD of 5 and 7 would be 35.
Yes, but be careful with repeating decimals! which might lead to rounding errors. Fraction form keeps your answer exact.
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