Math Problem Statement

Convert the decimal .125 to fraction form.

Solution

To convert the decimal 0.1250.125 to a fraction:

  1. Recognize that 0.1250.125 is the same as 1251000\frac{125}{1000} because 0.125 is in the thousandths place.

  2. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 125: 125÷1251000÷125=18\frac{125 \div 125}{1000 \div 125} = \frac{1}{8}

So, 0.1250.125 in fraction form is 18\frac{1}{8}.

Would you like a more detailed explanation, or do you have any further questions?

Here are five related questions:

  1. How would you convert 0.3750.375 to a fraction?
  2. How do you simplify fractions?
  3. Can every decimal be converted into a fraction?
  4. What is the fraction form of 0.50.5?
  5. How do you convert a repeating decimal into a fraction?

Tip: When converting a decimal to a fraction, always place the decimal over a power of 10 (depending on the number of decimal places) and simplify.

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Math Problem Analysis

Mathematical Concepts

Decimals
Fractions
Simplification

Formulas

Decimal to fraction conversion: place decimal over a power of 10, simplify using GCD

Theorems

Greatest Common Divisor (GCD) theorem for simplification

Suitable Grade Level

Grades 6-8