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

2024
Views:

82

Pages:

3
Author:

Delphinixxc3

Question 1 How do I convert the fraction 7 8 8 7 into a decimal? Answer 1 To convert 7 8 8 7 into a decimal, divide 7 by 8: 7 ÷ 8 = 0.875 7÷8=0.875 So, 7 8 8 7 as a decimal is 0.875. Question 2 How do you write 7 3 5 7 5 3 as an improper fraction? Answer 1 To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For 7 3 5 7 5 3 : Multiply 7 by 5: 7 × 5 = 35 7×5=35 Add the numerator (3): 35 + 3 = 38 35+3=38 So, 7 3 5 7 5 3 as an improper fraction is 38 5 5 38 . Question 3 What is the reciprocal of 7 10 10 7 and the reciprocal of 6? Answer 1 The reciprocal of a number is found by flipping the numerator and the denominator. The reciprocal of 7 10 10 7 is 10 7 7 10 . To find the reciprocal of 6, write 6 as 6 1 1 6 and then flip it: the reciprocal of 6 is 1 6 6 1 . Question 4 How do you express 7 3 5 + 4.8 7 5 3 +4.8 as a simplified fraction? Answer 1 Convert 4.8 4.8 to a fraction: 4.8 = 4 + 8 10 = 48 10 = 24 5 4.8=4+ 10 8 = 10 48 = 5 24 . Convert 7 3 5 7 5 3 to an improper fraction: 7 3 5 = 38 5 7 5 3 = 5 38 . Now, add the two fractions: 38 5 + 24 5 = 62 5 = 12 2 5 5 38 + 5 24 = 5 62 =12 5 2 So, 7 3 5 + 4.8 7 5 3 +4.8 as a simplified fraction is 12 2 5 12 5 2 . Question 5 What is the simplified value of 1 3 + 1 5 + 1 10 3 1 + 5 1 + 10 1 ? Answer 1 To add these fractions, find the least common denominator (LCD) of 3, 5, and 10, which is 30. Rewrite each fraction with a denominator of 30: 1 3 = 10 30 , 1 5 = 6 30 , 1 10 = 3 30 3 1 = 30 10 , 5 1 = 30 6 , 10 1 = 30 3 Add the fractions: 10 30 + 6 30 + 3 30 = 19 30 30 10 + 30 6 + 30 3 = 30 19 So, the simplified value of 1 3 + 1 5 + 1 10 3 1 + 5 1 + 10 1 is 19 30 30 19 .