What is the reciprocal of ⅘?(1 point)
Responses
.20
.20
1/5
1/5
5/4
5/4
0.8
The reciprocal of ⅘ is 5/4.
To find the reciprocal of a number, you need to take the inverse of that number.
The reciprocal of ⅘ can be found by simply flipping the fraction. In other words, you need to swap the numerator and the denominator.
The fraction ⅘ can be written as 4/5. So, its reciprocal would be 5/4.
Therefore, the correct answer is 5/4.
To find the reciprocal of a number, you simply invert it. In this case, the reciprocal of ⅘ is 5/4.
How do you write 3 ⅖ as an improper fraction?(1 point)
To write 3 ⅖ as an improper fraction, you need to convert the whole number and the fraction into a single fraction.
Starting with the whole number 3, you can write it as a fraction by placing it over 1, like this: 3/1.
Next, you need to convert the mixed fraction ⅖ into an improper fraction. To do this, you multiply the whole number (2) by the denominator (5), and then add the numerator (4). This gives you: (2 × 5) + 4 = 10 + 4 = 14.
Therefore, the improper fraction is 14/5.
So, 3 ⅖ can be written as 14/5.
Multiply 5/12 times 2. Write answer in simplest form. (1 point)
Responses
10/12
10 over 12
5/6
5 sixths
10/24
10 over 24
5/12
To multiply 5/12 by 2, you need to multiply the numerator (5) by 2, while keeping the denominator (12) the same.
5/12 * 2 = (5 * 2) / 12 = 10/12.
The fraction 10/12 can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 2.
Dividing both 10 and 12 by 2, we get:
10/2 = 5
12/2 = 6
So the simplest form of 10/12 is 5/6.
Therefore, the correct answer is 5/6.
Multiply 4/9 times 7. Write the answer as a mixed number.(1 point)
To multiply 4/9 by 7, you need to multiply the numerator (4) by 7, while keeping the denominator (9) the same.
4/9 * 7 = (4 * 7) / 9 = 28/9.
To write the result as a mixed number, you need to divide the numerator (28) by the denominator (9) and express the remainder as a fraction.
The quotient is 28 / 9 = 3 with a remainder of 1.
So, the mixed number is 3 1/9.
Therefore, the correct answer is 3 1/9.