Converting 8/10 to Sixteenths
Converting a fraction from one denominator to another is a common task in mathematics, especially when working with music or measurements. In this case, we want to convert the fraction 8/10 to sixteenths.
Understanding the Conversion
To convert a fraction to an equivalent fraction with a different denominator, we need to find a common factor between the original denominator and the desired denominator. In this case, the original denominator is 10, and we want to convert it to 16.
The common factor is 2. We multiply both the numerator and denominator of the original fraction by 2:
- Numerator: 8 x 2 = 16
- Denominator: 10 x 2 = 20
This gives us the equivalent fraction 16/20.
Simplifying the Fraction
While 16/20 is equivalent to 8/10, it's not in its simplest form. We can simplify this fraction by finding the greatest common factor (GCF) of 16 and 20, which is 4.
- Numerator: 16 / 4 = 4
- Denominator: 20 / 4 = 5
This gives us the simplified fraction 4/5.
Final Result
Therefore, 8/10 is equivalent to 16/20, which simplifies to 4/5. While this fraction is not in sixteenths, it is the simplest form of the equivalent fraction.
