How to Simplify the Fraction 17/6 (and as a Mixed Fraction)

Описание: In this video, we will simplify (reduce) the fraction 17/6 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 6.

We can list all of the factors that divide evenly into 17 and 6. 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 6 by 1, we get 6.

This means that we can simplify 17/6 to 17/6. 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 17/6 to a mixed number, here's how we do it:

To get 17/6 as a mixed number, we divide the numerator (17) by the denominator (6). The result is 2 with a remainder of 5. This means that 17/6 can be written as the mixed number 2 5/6. The whole number 2 represents how many times 6 goes into 17, and the fraction 5/6 represents the remainder.