1 14/24
B)
1/2
C)
19/12
D)
1 7/12
To simplify the answer and write it as a mixed number is D)1 7/12
To add the fractions 1/6, 3/4, and 2/3, we need to find a common denominator.
The common denominator for 6, 4, and 3 is 12.
Converting the fractions to have a denominator of 12:
1/6 = 2/12
3/4 = 9/12
2/3 = 8/12
Now we can add the fractions:
2/12 + 9/12 + 8/12 = 19/12
The sum of the fractions is 19/12.
To simplify the answer and write it as a mixed number, we divide the numerator (19) by the denominator (12):
19 ÷ 12 = 1 remainder 7
Therefore, the answer is 1 7/12.
Learn more about common denominator. at brainly.com/question/1098206
#SPJ2
1 and -1 are the only rational numbers which are their own reciprocal.
Answer:
a quantity that can be expressed as an infinite decimal expansion is real number.This includes all integers and all rational and irrational numbers.It can be either positive or negative.it can be either rational and irrational but not both It is demoted by R .Then numbers which are not both rational and irrational are not real numbers.
plz mark me as brainliest
Answer:The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.
Step-by-step explanation:
Let x = the number of times that the Phillips family used their sprinkler last summer.
Let y = the number of times that the Petersons family used their sprinkler last summer.
The water output rate for the Phillips family sprinkler was 35 L per hour.
This means that the total volume of water from their sprinkler is 35xL
The water output rate for the Petersons family sprinkler was 15 L per hour.
This means that the total volume of water from their sprinkler is 15yL
The families used their sprinklers for a combined total of 35 hours, resulting in a total water output of 925 L. This means
x + y = 35
35x + 15y = 925 - - - - - - - - 2
Substituting x = 35 - y into equation 2
35(35-y) + 15y = 925
1225 - 35y + 15y = 925
- 20y = 925 - 1225 =- 300
y = - 300 / -20 = 15
x = 35 - y = 35 - 15 = 20
The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.