How to Simplify the Fraction 16/6 (and as a Mixed Fraction)

Опубликовано: 04 Ноябрь 2024
на канале: MagnetsAndMotors (Dr. B's Other Channel)

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.