In this video we will simplify (reduce) the fraction 2/7 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 2 and 7.

We can list all of the factors that divide evenly into 2 and 7. When we do so we see that 1 is the highest common factor for both numbers.
If we divide 2 by 1 we get 2.
If we divide 7 by 1 we get 7.

This means that we can simplify 2/7 to 2/7. 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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