In this video we will simplify (reduce) the fraction 27/72 into its simplest form. The key to simplifying fractions is to find a number that goes into both the numerator and denominator.
The number 9 will divide evenly into both 27 and 72.
We can list all of the factors that divide evenly into 27 and 72. When we do so we see that 9 is the highest common factor for both numbers.
If we divide 27 by 9 we get 3.
If we divide 72 by 9 we get 8.
This means that we can simplify 27/72 to 3/8. 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.
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