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

2024
Views:

218

Pages:

2
Author:

Delphinixxc3

Question 1 What is the decimal form of 6 8 8 6 ? Answer 1 To convert 6 8 8 6 to a decimal, divide 6 by 8: 6 ÷ 8 = 0.75 6÷8=0.75 So, 6 8 8 6 as a decimal is 0.75. Question 2 What is the simplified value of 3 12 − 1 8 + 5 6 12 3 − 8 1 + 6 5 ? Answer 1 To simplify 3 12 − 1 8 + 5 6 12 3 − 8 1 + 6 5 , we need a common denominator. The Least Common Denominator (LCD) of 12, 8, and 6 is 24. Rewrite each fraction with a denominator of 24: 3 12 = 6 24 , 1 8 = 3 24 , 5 6 = 20 24 12 3 = 24 6 , 8 1 = 24 3 , 6 5 = 24 20 Substitute and simplify: 6 24 − 3 24 + 20 24 = 6 − 3 + 20 24 = 23 24 24 6 − 24 3 + 24 20 = 24 6−3+20 = 24 23 So, the simplified value is 23 24 24 23 . Question 3 What is the simplified value of 1 7 + 3 14 + 2 3 + 5 6 7 1 + 14 3 + 3 2 + 6 5 ? Answer 1 To add 1 7 + 3 14 + 2 3 + 5 6 7 1 + 14 3 + 3 2 + 6 5 , find the Least Common Denominator (LCD) of 7, 14, 3, and 6, which is 42. Rewrite each fraction with a denominator of 42: 1 7 = 6 42 , 3 14 = 9 42 , 2 3 = 28 42 , 5 6 = 35 42 7 1 = 42 6 , 14 3 = 42 9 , 3 2 = 42 28 , 6 5 = 42 35 Add the fractions: 6 42 + 9 42 + 28 42 + 35 42 = 6 + 9 + 28 + 35 42 = 78 42 = 13 7 42 6 + 42 9 + 42 28 + 42 35 = 42 6+9+28+35 = 42 78 = 7 13 So, the simplified value is 13 7 7 13 . Question 4 How do you convert 3 8 8 3 to a decimal? Answer 1 To convert 3 8 8 3 to a decimal, divide 3 by 8: 3 ÷ 8 = 0.375 3÷8=0.375 So, 3 8 8 3 as a decimal is 0.375. Question 5 What is the simplified value of 1 8 + 4 18 8 1 + 18 4 ? Answer 1 To add 1 8 + 4 18 8 1 + 18 4 , find the Least Common Denominator (LCD), which is 72. Rewrite each fraction with a denominator of 72: 1 8 = 9 72 , 4 18 = 16 72 8 1 = 72 9 , 18 4 = 72 16 Add the fractions: 9 72 + 16 72 = 25 72 72 9 + 72 16 = 72 25 So, the simplified value is 25 72 72 25 .