How to Simplify the Fraction 24/9 (and as a Mixed Fraction)
In this video, we will simplify (reduce) the fraction 24/9 into its simplest form. The key to simplifying fractions is to find a number that goes into both the numerator and denominator.
The number 3 will divide evenly into both 24 and 9.
We can list all of the factors that divide evenly into 24 and 9. When we do so, we see that 3 is the highest common factor for both numbers.
If we divide 24 by 3, we get 8. If we divide 9 by 3, we get 3.
This means that we can simplify 24/9 to 8/3. 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.
Now, if we want to convert 24/9 to a mixed number, here's how we do it:
To get 24/9 as a mixed number, we divide the numerator (24) by the denominator (9). The result is 2 with a remainder of 6. This means that 24/9 can be written as the mixed number 2 6/9. The whole number 2 represents how many times 9 goes into 24, and the fraction 6/9 represents the remainder, which can also be simplified to 2 2/3.
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