Solve the following equation:
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Solve the following equation:
We must first identify the lowest common denominator between 4 and 6.
In order to determine the lowest common denominator, we need to find a number that is divisible by both 4 and 6.
In this case, the common denominator is 12.
We will then proceed to multiply each fraction by the appropriate number to reach the denominator 12
We'll multiply the first fraction by 3
We'll multiply the second fraction by 2
Finally we'll combine and obtain the following:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
You can't add fractions with different denominators because they represent different-sized pieces. It's like trying to add 1 quarter + 3 half-dollars - you need to convert to the same currency first!
List the multiples of each number: 4: 4, 8, 12, 16... and 6: 6, 12, 18... The smallest number that appears in both lists is your LCD.
Because and ! Multiplying by 1 doesn't change the value, but it gives us equivalent fractions with the same denominator (12).
You can, but it's not necessary! Whether you use or , you'll get the same LCD of 12 and the same final answer.
Yes! since both 9 and 12 are divisible by 3. Always check if your final answer can be reduced to lowest terms.
The same process works! Find the LCD using prime factorization or listing multiples. Don't worry - with practice, you'll recognize common LCDs quickly.
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