Solve the following exercise:
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Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 6
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 6
In this case, the common denominator is 30
Now we'll multiply each fraction by the appropriate number to reach the denominator 30
We'll multiply the first fraction by 6
We'll multiply the second fraction by 5
Now we'll combine and get:
You have a pair of denominators, what is their least common multiple?
\( \boxed 2~~~\boxed5 \)
List the multiples of each number: 5 → 5, 10, 15, 20, 25, 30... and 6 → 6, 12, 18, 24, 30... The first number that appears in both lists is your LCD!
Because means 2 pieces of something cut into 5 parts, while means 1 piece cut into 6 parts. You need same-sized pieces to add them!
Don't worry! Even if the LCD seems large, the math works the same way. Just multiply carefully and simplify your final answer if possible.
Check if 17 and 30 share any common factors. Since 17 is prime and doesn't divide 30, is already in simplest form!
Yes, but using the LCD (30) keeps numbers smaller and easier to work with. Using 60 or 90 would also work, but creates unnecessary large numbers.
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