How to Simplify the Fraction 3/7

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In this video we will simplify (reduce) the fraction 3/7 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 3 and 7.

We can list all of the factors that divide evenly into 3 and 7. When we do so we see that 1 is the highest common factor for both numbers.

If we divide 3 by 1 we get 3.
If we divide 7 by 1 we get 7.

This means that we can simplify 3/7 to 3/7. 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.