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

2024
Views:

69

Pages:

6
Author:

Delphinixxc3

Question 1 How do you change 2.9 into a fraction? Answer 1 2.9 is two and nine tenths. 2.9 = 2 9 10 2.9=2 10 9 As a mixed fraction. As an improper fraction it would be: 2 9 10 = 10 × 2 + 9 10 = 29 10 2 10 9 = 10 10×2+9 = 10 29 Answer 2 You can take any number, such as 2.9, and write a 1 as the denominator to make it a fraction: 2.9 1 1 2.9 To get rid of the decimal point, multiply both the numerator and denominator by 10: 29 10 10 29 Therefore, 2.9 as a fraction is 29 10 10 29 . Answer 3 Step 1: Write down the number as a fraction of one: 2.9 = 29 1 2.9= 1 29 Step 2: Multiply by 10 to remove the decimal point: 29 10 10 29 Thus, 2.9 as a fraction is 29 10 10 29 . Question 2 How do you simplify 12 20 20 12 ? Answer 1 Explanation: First, the fraction can be reduced by two because the numerator and denominator are both even numbers: 12 20 = 6 10 = 3 5 20 12 = 10 6 = 5 3 Answer 2 Steps to simplifying fractions: Find the GCD of the numerator and denominator, which is 4. 12 ÷ 4 20 ÷ 4 = 3 5 20÷4 12÷4 = 5 3 Thus, 12 20 20 12 simplifies to 3 5 5 3 . Question 3 What is 12/5 as a mixed fraction? Answer 1 Solution: 12 5 = 2 2 5 5 12 =2 5 2 Divide 12 by 5. The quotient is 2 and the remainder is 2. Therefore, the mixed fraction is 2 2 5 2 5 2 . Answer 2 Follow these steps to get a mixed number: Divide 12 by 5. The quotient is 2 and the remainder is 2. Thus, 12 5 5 12 is written as 2 2 5 2 5 2 . Answer 3 We convert 12 5 5 12 into a mixed fraction by dividing the numerator by the denominator. The quotient is 2, and the remainder is 2, so the mixed fraction is 2 2 5 2 5 2 . Question 4 What is 12 divided by 1/4? Answer 1 12 ÷ 1 4 = 12 × 4 = 48 12÷ 4 1 =12×4=48 Answer 2 12 ÷ 1 4 = 48 12÷ 4 1 =48 Answer 3 When dividing by a fraction, invert the fraction and multiply. 12 ÷ 1 4 = 48 12÷ 4 1 =48 Question 5 Which fraction is bigger, 3/4 or 2/3? Answer 1 To compare, make the denominators the same: 3 4 = 9 12 , 2 3 = 8 12 4 3 = 12 9 , 3 2 = 12 8 Since 9/12 is greater than 8/12, 3 4 4 3 is bigger. Answer 2 Convert fractions to percentages: 3 4 = 75 % , 2 3 ≈ 66.67 % 4 3 =75%, 3 2 ≈66.67% Thus, 3 4 4 3 is bigger. Answer 3 If we want to compare two fractions, we need the same denominator. 3 4 = 9 12 , 2 3 = 8 12 4 3 = 12 9 , 3 2 = 12 8 Thus, 3 4 4 3 is greater than 2 3 3 2 .