Rebecca has 0.76 miles left to go in her cross country race.
Which fraction is equivalent to the distance, in miles, left in her race?
A
9
20
B
6
7
C
11
15
D
19
25
A library loans out 3 books every day for a week and no books are returned. The following equation is written to represent the situation:
(−3)⋅7=−21
Which of the following best explains the meaning of
−21
in the equation?
A Books were loaned out for
−21
days.
B The library now has
−21
books.
C The change in the number of books at the library over the course of the week was
−21
.
D The number of books loaned per day was
−21
.
The correct answer is C.
In the equation, (-3) * 7 = -21, the -21 represents the change in the number of books at the library over the course of the week. Since 3 books are loaned out every day for a week, the total change in the number of books is -21. The negative sign represents a decrease in the number of books.
To find the fraction equivalent to 0.76 miles, we need to express the distance as a fraction with a numerator and denominator.
Let's convert 0.76 to a fraction:
Step 1: Write 0.76 as a fraction by putting the digits after the decimal point over 100:
0.76 = 76/100
Step 2: Simplify the fraction by dividing both the numerator and denominator by their common factors:
76/100 = 19/25
Therefore, the fraction equivalent to the distance, in miles, left in her race is 19/25.
So, the answer is D) 19/25.
To find the equivalent fraction to the distance left in Rebecca's race, we need to divide the remaining distance by the total distance of the race.
Given that Rebecca has 0.76 miles left and the total race distance is not specified, we cannot determine an exact fraction. However, we can still find an equivalent fraction by simplifying the decimal.
To simplify a decimal to a fraction, we count the number of decimal places. In this case, there are two decimal places. A decimal with two decimal places goes in the hundredths place.
Therefore, the equivalent fraction to 0.76 is:
76/100
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4 in this case:
76 ÷ 4 / 100 ÷ 4
= 19/25
Therefore, the equivalent fraction to the distance left in Rebecca's race is 19/25.
The correct answer choice is D.
To find an equivalent fraction, we need to divide both the numerator and denominator by the same value. In this case, the value is 0.01, which is the same as dividing by 0.01.
0.76 miles / 0.01 = 76 miles / 1
So the fraction equivalent to the distance left in her race is 76/1.
None of the given fractions, A, B, C, or D, are equivalent to 76/1.