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In this video, we will simplify (reduce) the fraction 17/8 into its simplest form. The key to simplifying fractions is to find a number that goes into both the numerator and denominator. The number 1 will divide evenly into both 17 and 8. We can list all of the factors that divide evenly into 17 and 8. When we do so, we see that 1 is the highest common factor for both numbers. If we divide 17 by 1, we get 17. If we divide 8 by 1, we get 8. This means that we can simplify 17/8 to 17/8. The fractions are equivalent. If you check on a calculator, you will find that they have the same decimal value. So we haven't changed the quantity, just the way the fraction is expressed. Now, if we want to convert 17/8 to a mixed number, here's how we do it: To get 17/8 as a mixed number, we divide the numerator (17) by the denominator (8). The result is 2 with a remainder of 1. This means that 17/8 can be written as the mixed number 2 1/8. The whole number 2 represents how many times 8 goes into 17, and the fraction 1/8 represents the remainder.