In this video we will simplify (reduce) the fraction 3/10 into its simplest form. The key to simplifying fractions is to find a number that goes into both the numerator and denominator.
The number will divide evenly into both 3 and 10.
We can list all of the factors that divide evenly into 3 and 10. When we do so we see that 1 is the highest common factor for both numbers.
If we divide 3 by we get 1.
If we divide 10 by we get 1.
This means that we can simplify 3/10 to 3/10. 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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