Mathematics
Express this decimal as a fraction. 0.8 repeating decimal
Posted 3 months agoAnswers (2)
Whenever you have a repeating decimal, you can convert it into a fraction by taking the part that repeats and dividing it by the same amount of 9's. Here, it's just the one 8 that keeps repeating. So, the fraction would be 8/9
Final answer: To express the decimal 0.8 repeating as a fraction, you can use the concept of a repeating decimal. The decimal 0.8 repeating is equal to the fraction 8/9. Explanation: To express the decimal 0.8 repeating as a fraction, we can use the concept of a repeating decimal. Let x = 0.8 repeating. Multiplying x by 10 gives 10x = 8.8 repeating. Subtracting the original equation from this gives 10x - x = 8.8 repeating - 0.8 repeating, which simplifies to 9x = 8. Subtracting 8 from both sides gives 9x - 8 = 0, and dividing both sides by 9 gives x = 8/9. Therefore, 0.8 repeating is equal to the fraction 8/9. Learn more about Expressing decimals as fractions here: brainly.com/question/556480 #SPJ2