How to Simplify the Fraction 16/6 (and as a Mixed Fraction)
In this video, we will simplify (reduce) the fraction 16/6 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 16 and 6.
We can list all of the factors that divide evenly into 16 and 6. When we do so, we see that 2 is the highest common factor for both numbers.
If we divide 16 by 2, we get 8.
If we divide 6 by 2, we get 3.
This means that we can simplify 16/6 to 8/3. 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 8/3 to a mixed number, here's how we do it:
To get 8/3 as a mixed number, we divide the numerator (8) by the denominator (3). The result is 2 with a remainder of 2. This means that 8/3 can be written as the mixed number 2 2/3. The whole number 2 represents how many times 3 goes into 8, and the fraction 2/3 represents the remainder.
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