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:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
List 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!
You can only add fractions when they have the same denominator. Think of it like adding pizza slices - you can't add 2 slices of a 5-piece pizza to 3 slices of a 6-piece pizza without converting them first!
Any common multiple works, but using the LCD keeps numbers smaller and easier to work with. For example, 60 works for 5 and 6, but 30 is simpler!
Always check! In this case, can be simplified to by dividing both numerator and denominator by 3.
Great! The larger denominator is automatically your LCD. For example, with , since 6 ÷ 3 = 2, your LCD is 6.
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