.4 as a Fraction in 16ths
When dealing with decimals, it's often helpful to convert them to fractions to better understand their value. In this article, we'll explore how to convert the decimal .4 to a fraction in 16ths.
What is .4 as a Fraction?
To convert .4 to a fraction, we can divide the decimal by 1 and then simplify the result:
.4 ÷ 1 = 4/10
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
4 ÷ 2 = 2 10 ÷ 2 = 5
So, .4 as a fraction is equal to 2/5.
Converting 2/5 to 16ths
To convert the fraction 2/5 to 16ths, we need to find the equivalent fraction with a denominator of 16. To do this, we can multiply both the numerator and the denominator by 3.25 (since 5 x 3.25 = 16.25, which is close enough to 16):
2 x 3.25 = 6.5 5 x 3.25 = 16.25
So, .4 as a fraction in 16ths is equal to 6.5/16.
Simplifying the Fraction
We can simplify the fraction 6.5/16 by converting the mixed number to an improper fraction:
6.5 = 13/2 13/2 ÷ 16 = 13/32
Therefore, .4 as a fraction in 16ths is equal to 13/32.
In conclusion, we've successfully converted the decimal .4 to a fraction in 16ths, which is equal to 13/32.
