Final answer:
To show the repeating decimal for the fraction 38/33, multiply the numerator and denominator by a suitable power of 10 to eliminate the decimal. Then, simplify the resulting fraction to obtain the repeating decimal.
Step-by-step explanation:
To show a repeating decimal for the fraction 38/33, we can convert it into a fraction with a power of 10 as the denominator. Since 33 cannot be easily written as a power of 10, we can multiply both the numerator and denominator of the fraction by a suitable power of 10 to eliminate the decimal. In this case, we can multiply by 100, giving us the fraction 3800/3300. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 100:
3800 ÷ 100 = 38
3300 ÷ 100 = 33
Therefore, the correct way to show the repeating decimal for the fraction 38/33 is 1.15, where 1 is the whole number part of the decimal and 15 is the repeating decimal part.
Learn more about repeating decimals