Change 3.012 to a fraction in lowest terms.

To convert 3.012 to a fraction, we can first express it as 3 + 0.012. The decimal 0.012 can be written as 12/1000 since there are three decimal places. Next, simplify 12/1000 by dividing both the numerator and the denominator by their greatest common divisor, which is 4. This gives us 3 + 3/250, combining it as an improper fraction results in (3 * 250 + 3) / 250, or 753/250. So, 3.012 as a fraction in lowest terms is 753/250. Now, let’s explore how decimals and fractions are linked together. Every decimal number can be turned into a fraction by placing the decimal in the numerator and a power of ten in the denominator, depending on how many digits are after the decimal point. This reinforces the idea that decimals are another way to express the same values as fractions! When performing these conversions, a common mistake is to forget to simplify your fraction before concluding your answer. Always double-check if both the numerator and denominator can be divided by the same number, ensuring you present the fraction in the simplest form! This not only clarifies your result but also makes it easier to understand and use in calculations.