what is 0.125 as a fraction in simplest form
The correct answer and explanation is:
Sure!
0.125 as a fraction in simplest form is: 18\frac{1}{8}
Explanation (300 words):
To convert a decimal like 0.125 into a fraction, the process involves understanding place value and then simplifying the fraction.
- Write the decimal as a fraction:
The decimal 0.125 means 125 thousandths, because the digits are in the thousandths place (three digits after the decimal point).
So, 0.125=12510000.125 = \frac{125}{1000} - Simplify the fraction:
To simplify 1251000\frac{125}{1000}, find the greatest common divisor (GCD) of the numerator (125) and denominator (1000).- Factors of 125: 1,5,25,1251, 5, 25, 125
- Factors of 1000: 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,10001, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
- Divide numerator and denominator by the GCD: 125÷1251000÷125=18\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}
So, 0.125 equals 18\frac{1}{8} in simplest form.
Why is this important?
Converting decimals to fractions is a fundamental skill in math that helps understand the relationship between numbers and their parts. Decimals are often used in measurements, money, and many real-world applications, but fractions give a clear representation of how many equal parts make up the whole.
Also, fractions can be easier to work with in some mathematical operations like addition, subtraction, multiplication, and division, especially when comparing sizes or parts of a whole.
Recognizing that 0.125 equals 18\frac{1}{8} also means you understand that one-eighth of something is 0.125 of the whole, making it easier to visualize parts of quantities.