Reviewed by Maila Caliao
0.125 as a Fraction in Simplest Form
Answer: 0.125 as a fraction in simplest form is 1/8
Decimals can be expressed as fractions by recognizing their place value. Converting a decimal to a fraction involves writing the decimal as a ratio of two numbers and then simplifying the fraction to its lowest terms. Let's find the simplest fractional form of 0.125.
Methods
Math Tutor Explanation Using Place Value Method
This method uses the decimal's place value to write it as a fraction before simplifying.
Step 1: Step 1: Recognize that 0.125 is in the thousandths place, so write it as 125/1000
Step 2: Step 2: Simplify the fraction by finding the greatest common divisor (GCD) of 125 and 1000, which is 125
Math Tutor Explanation Using Division Method
This method involves reading the decimal as a fraction and reducing it step by step.
Step 1: Step 1: Write 0.125 as 125/1000
Step 2: Step 2: Divide both the numerator and denominator by 5 repeatedly until you can no longer reduce
Step 1:
Step 2:
Math Tutor suggests: Practice Decimal to Fraction Conversions
Build your skills in converting decimals to fractions in simplest form with these related exercises.
FAQ on Decimals and Fractions
Why is 0.125 equal to 1/8?
Because when you simplify 125/1000 by dividing both by 125, you get 1/8
How do I identify the place value in a decimal?
Count how many digits are after the decimal point; for 0.125, there are three, so it's the thousandths place
What does 'simplest form' mean?
It means the numerator and denominator have no common factors except for 1
Can every decimal be written as a fraction?
Every terminating or repeating decimal can be written as a fraction
Winter Math & Reading Camp for Grades 1-9
Join Brighterly's Online Winter Camp to excel in math and reading.
Choose kid's grade
Winter Math & Reading Camp for Grades 1-9
Join our Winter Camp, boost your child's math and reading skills.