How to Simplify the Fraction 8/5 (and as a Mixed Fraction)

Published: 28 January 2023
on channel: MagnetsAndMotors (Dr. B's Other Channel)
11,504
19

In this video we will simplify (reduce) the fraction 8/5 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 8 and 5.

We can list all of the factors that divide evenly into 8 and 5. When we do so we see that 1 is the highest common factor for both numbers.

If we divide 8 by 1 we get 8.
If we divide 5 by 1 we get 5.

This means that we can simplify 8/5 to 8/5. 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.

Note that since the numerator in 8/5 is greater than the denominator we can also change 8/5 to a mixed fraction. As a mixed fraction 8/5 can be written as 1 3/5.


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