Solve the following exercise:
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Solve the following exercise:
Let's try to find the lowest common denominator between 3 and 9
To find the lowest common denominator, we need to find a number that is divisible by both 3 and 9
In this case, the common denominator is 9
Now we'll multiply each fraction by the appropriate number to reach the denominator 9
We'll multiply the first fraction by 3
We'll multiply the second fraction by 1
Now we'll combine and get:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
Fractions represent parts of a whole. You can only add fractions when they have the same denominator (same-sized pieces). Adding across both parts gives a meaningless result!
The LCD is the smallest number that both denominators divide into evenly. Since 9 ÷ 3 = 3 and 9 ÷ 9 = 1, nine works perfectly as our common denominator.
Not always! Look at each fraction individually. Here, already has denominator 9, so we multiply it by (which doesn't change it).
No, is already in simplest form! Since 8 and 9 share no common factors except 1, this fraction cannot be reduced.
You could use 18, but it's not the lowest common denominator. Using the LCD keeps your numbers smaller and makes the arithmetic easier to handle.
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