Converting 0.138 to a Fraction in Simplest Form
When dealing with decimal numbers, it's often necessary to convert them to fractions in simplest form. This is especially important in mathematical calculations, as it can help simplify equations and make them easier to work with. In this article, we'll explore how to convert the decimal number 0.138 to a fraction in simplest form.
Step 1: Convert the Decimal to a Fraction
To convert a decimal to a fraction, we can simply divide the decimal by 1, and then simplify the resulting fraction. In this case, we'll divide 0.138 by 1:
0.138 ÷ 1 = 138/1000
Step 2: Simplify the Fraction
Now that we have a fraction, we can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 138 and 1000 is 2, so we'll divide both numbers by 2:
(138 ÷ 2) / (1000 ÷ 2) = 69/500
Step 3: Simplify Further (Optional)
Although we've simplified the fraction, we can simplify it further by dividing both numbers by their GCD again. The GCD of 69 and 500 is 1, so we can't simplify it further. Therefore, the final answer is:
0.138 = 69/500
Conclusion
Converting 0.138 to a fraction in simplest form requires just a few simple steps. By dividing the decimal by 1, simplifying the resulting fraction, and optionally simplifying it further, we can arrive at the final answer: 69/500. This skill is essential in many mathematical applications, and with practice, you'll become proficient in converting decimals to fractions with ease.
