University:
Purdue University
Course:
MA 15300 | College Algebra
Academic year:

2024
Views:

155

Pages:

3
Author:

Delphinixxc3

Question 1 How do you convert 0. 8 ‾ 0. 8 (8 repeating) to a fraction? Answer 1 Let 𝑥 = 0. 8 ‾ x=0. 8 . Multiply both sides by 10: 10 𝑥 = 8. 8 ‾ 10x=8. 8 Now we have: 10 𝑥 − 𝑥 = 8. 8 ‾ − 0. 8 ‾ 10x−x=8. 8 −0. 8 9 𝑥 = 8 9x=8 𝑥 = 8 9 x= 9 8 Therefore, 0. 8 ‾ = 8 9 0. 8 = 9 8 . Question 2 Convert 1.7 into a fraction, please. Answer 1 1.7 as a fraction can be written as: 1 + 7 10 = 17 10 1+ 10 7 = 10 17 Question 3 What is 5 1 8 5 8 1 as a decimal? Answer 1 Convert 5 1 8 5 8 1 to an improper fraction: 5 1 8 = 41 8 5 8 1 = 8 41 Now, divide 41 by 8: 41 8 = 5.125 8 41 =5.125 So, 5 1 8 = 5.125 5 8 1 =5.125 as a decimal. Question 4 How do you convert 0. 4 ‾ 0. 4 (4 being repeated) to a fraction? Answer 1 Let 𝑥 = 0. 4 ‾ x=0. 4 . Multiply both sides by 10: 10 𝑥 = 4. 4 ‾ 10x=4. 4 Now we have: 10 𝑥 − 𝑥 = 4. 4 ‾ − 0. 4 ‾ 10x−x=4. 4 −0. 4 9 𝑥 = 4 9x=4 𝑥 = 4 9 x= 9 4 Therefore, 0. 4 ‾ = 4 9 0. 4 = 9 4 . Question 5 How do you write the fraction 36 72 72 36 in simplest form? Answer 1 To simplify 36 72 72 36 , find the greatest common factor, which is 36: 36 72 = 36 ÷ 36 72 ÷ 36 = 1 2 72 36 = 72÷36 36÷36 = 2 1 So, 36 72 72 36 in simplest form is 1 2 2 1 .