Solve the following exercise:
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Solve the following exercise:
Let's try to find the lowest common denominator between 5 and 15
To find the lowest common denominator, we need to find a number that is divisible by both 5 and 15
In this case, the common denominator is 15
Now we'll multiply each fraction by the appropriate number to reach the denominator 15
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:
\( 5:6= \)
Because fractions represent parts of a whole! Adding as is like adding 3 apples and 2 oranges to get 5 appleranges - it doesn't make mathematical sense!
Look for the smallest number that both denominators divide into evenly. Since 15 ÷ 5 = 3 and 15 ÷ 15 = 1, the LCD of 5 and 15 is simply 15!
Then you'll need to convert both fractions! For example, with , the LCD is 12, so you'd convert both to .
Always check if you can simplify! In this case, cannot be reduced because 11 and 15 share no common factors other than 1.
If your numerator is larger than your denominator, convert to a mixed number! For example, . Both forms are correct.
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