0.15625 as a Fraction
Have you ever wondered what the decimal 0.15625 looks like as a fraction? In this article, we'll explore the process of converting 0.15625 to a fraction and discover its equivalent fractional form.
Converting 0.15625 to a Fraction
To convert a decimal to a fraction, we can use the following steps:
- Write the decimal as a fraction with a denominator of 1: 0.15625 = 0.15625/1
- Multiply the numerator and denominator by 10^k, where k is the number of decimal places: Since 0.15625 has 5 decimal places, we'll multiply by 10^5 = 100,000.
0.15625/1 = (0.15625 × 100,000) / (1 × 100,000) = 15,625 / 100,000
- Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD):
The GCD of 15,625 and 100,000 is 1,250. Dividing both numbers by 1,250, we get:
15,625 ÷ 1,250 = 12.5 100,000 ÷ 1,250 = 80
So, the simplified fraction is:
0.15625 = 12.5/80
Simplifying Further
We can simplify the fraction further by dividing both numerator and denominator by their GCD, which is 2.5:
12.5 ÷ 2.5 = 5 80 ÷ 2.5 = 32
Therefore, 0.15625 as a fraction is equal to 5/32.
In conclusion, the decimal 0.15625 can be written as a fraction in its simplest form as 5/32.
