Solve the following equation:
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Solve the following equation:
Let's first identify the lowest common denominator between 8 and 12.
In order to determine the lowest common denominator, we need to find a number that is divisible by both 8 and 12.
In this case, the common denominator is 24
Now we'll proceed to multiply each fraction by the appropriate number to reach the denominator 24.p
We'll multiply the first fraction by 3
We'll multiply the second fraction by 2
Now let's combine:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
List the multiples of each number: 8: 8, 16, 24, 32... and 12: 12, 24, 36... The first number that appears in both lists is 24, so that's your LCD!
You can only add fractions when they have the same denominator. Think of it like adding apples and oranges - you need to convert them to the same 'fruit units' first!
Divide the LCD by each denominator: 24÷8=3, so multiply by . And 24÷12=2, so multiply by .
Always check! For , both 16 and 24 are divisible by 8, so it simplifies to . Simplified answers are usually preferred.
The same method works! You might need to use prime factorization to find the LCD more easily, but the steps remain the same: find LCD, convert fractions, then add.
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