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To find the number that, when multiplied by 8, gives 4.8, you would divide 4.8 by 8. So, 4.8 divided by 8 equals 0.6. Therefore, the number you are looking for is 0.6.
I believe it is 1 and 19/24ths. I am not sure, but I will explain so you can check my math. First I found the common denominator, which is 24, then multiplied the top number by what I multiplied the bottom number by. For the 7/8 I multiplied by 3, which came out to be 21/24, and I multiplied the 11/12 by 2, which comes out to 22/24. If you add those up, you will get 43/24. Then, all you have to do is simplify.
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Indeed, since you have multiplied both the numerator and denominator by the same number, 3/8 and 9/24 are equivalent fractions.