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now in this lesson we're going to focus on solving rational equations so let's start with our first example 5 over 8 minus 3 over 5 and let's set that equal to x over 10. what do we need to do in order to find the value of x what would you do the best thing we can do is clear away all fractions we have an eight a five and a ten what is the least common multiple of eight five and ten well we can make a list multiples of five are five ten fifteen and so forth multiples of 8 are 8 16 24 32 and 40. multiples of 10 also include 40. so 40 is the least common multiple let's multiply every fraction by 40. so what's 5 over 8 times 40 you can do 5 times 40 which is 200 and then divide 200 by 8 or you can do 40 divided by 8 which is 5 times the 5 on top and that's going to be 25 now what about three fifths of 40 40 divided by five is eight eight times three is twenty four and the last one forty divided by ten is four times x that's four x twenty five minus twenty four is one and so x is equal to

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