0.15625 as a Fraction in Simplest Form
What is 0.15625 as a Fraction?
The decimal number 0.15625 can be converted to a fraction in simplest form. To do this, we need to find the equivalent fraction that has the same value as the given decimal number.
Converting 0.15625 to a Fraction
To convert 0.15625 to a fraction, we can divide the decimal number by a power of 10 that is equal to the number of decimal places. In this case, we have 5 decimal places, so we can divide by 10^5 or 100,000.
0.15625 ÷ 100,000 = 15625/100,000
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 15625 and 100,000 is 625.
(15625 ÷ 625) / (100,000 ÷ 625) = 25/160
Simplest Form of 0.15625 as a Fraction
The simplest form of 0.15625 as a fraction is:
25/160
This fraction is in its simplest form because the numerator and the denominator have no common factors other than 1.
In conclusion, 0.15625 can be converted to a fraction in simplest form as 25/160.
