4 1/6 Percent as a Fraction
When dealing with percentages, it's often useful to convert them to fractions to make calculations easier. In this article, we'll explore how to convert 4 1/6 percent to a fraction.
What is 4 1/6 Percent?
4 1/6 percent is a mixed percentage that consists of a whole number part (4) and a fractional part (1/6). To convert this to a fraction, we need to convert both parts separately.
Converting the Whole Number Part
The whole number part, 4, can be converted to a fraction by dividing by 100, which is the denominator of the percentage.
4 ÷ 100 = 4/100
Converting the Fractional Part
The fractional part, 1/6, can be converted to a fraction by dividing by 100 and multiplying by the denominator of the fractional part.
(1/6) ÷ 100 = (1 × 100) / (6 × 100) = 100/600
Combining the Two Parts
Now that we have converted both parts to fractions, we can combine them to get the final fraction.
4/100 + 100/600 = (4 × 600 + 100) / (100 × 600) = 2500/6000
Simplifying the Fraction
The resulting fraction, 2500/6000, can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD).
GCD of 2500 and 6000 is 250.
2500 ÷ 250 = 10 6000 ÷ 250 = 24
So, the simplified fraction is:
10/24
Therefore, 4 1/6 percent is equal to the fraction 10/24.
