How do you write as a fraction and simplify 0.125?

Question

HIX Tutor · Accepted Answer

undefined To write and simplify 0.125 as a fraction, follow these steps:

1. **Write 0.125 as a fraction:**  
   Since 0.125 means "125 thousandths," you can write it as:  
   $$
   \frac{125}{1000}
   $$

2. **Simplify the fraction:**  
   Look for the greatest common divisor (GCD) of 125 and 1000. The GCD is 125.

3. **Divide the top and bottom by 125:**  
   $$
   \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
   $$

4. **Final answer:**  
   0.125 as a simplified fraction is:  
   $$
   \frac{1}{8}
   $$

Ethan Adkins · Answer

#1/8#

Since thousandths are the third decimal place, start by writing this as:

#125/1000 -=(125-:125)/(1000-:125)= 1/8#

~~~~~~~~~~~~~~~~~~~~~ Comment on one of the many methods involving mental arithmetic.

Not that #4xx25=100# so think of 125 as #100+100/4#

#(100+100/4)xx8 = (800+800/4) = 800+200=1000#

Kennedy Adams · Answer

undefined To write 0.125 as a fraction and simplify it, you express it as 125/1000, then simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 125. The simplified fraction is 1/8.