What is 3/10÷1/3 ?(1 point)
Responses
9/10
Start Fraction 9 over 10 End Fraction
3/30
Start Fraction 3 over 30 End Fraction
10
10
10/9
Start Fraction 10 over 9 End Fraction
To solve the equation 3/10 ÷ 1/3, you need to follow these steps:
Step 1: Invert the divisor.
- In this case, the divisor is 1/3. So, the inverted divisor would be 3/1.
Step 2: Multiply the dividend by the inverted divisor.
- Multiply 3/10 by 3/1. This can be done by multiplying the numerators and denominators separately.
- 3/10 * 3/1 = (3 * 3)/(10 * 1) = 9/10.
Therefore, the result of 3/10 ÷ 1/3 is 9/10.
To divide a fraction by another fraction, you need to multiply the first fraction by the reciprocal of the second fraction.
Step 1: Find the reciprocal of 1/3
The reciprocal of a fraction is found by swapping the numerator and the denominator. So, the reciprocal of 1/3 is 3/1.
Step 2: Multiply 3/10 by 3/1
When multiplying fractions, you multiply the numerators together, and then multiply the denominators together. So, (3/10) * (3/1) is equal to (3 * 3) / (10 * 1), which simplifies to 9/10.
Therefore, the answer to 3/10 ÷ 1/3 is 9/10.
Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)
Responses
9/4 hours
Start Fraction 9 over 4 End Fraction hours
12 hours
12 hours
4 hours
4 hours
6 hours
To solve this problem, we can set up a proportion:
(3/4) of the bedroom painted / 3 hours = 1 whole bedroom / x hours
To find x, we can cross multiply and solve for x:
(3/4) * x = 1 * 3
3x/4 = 3
3x = 12
x = 12/3
Therefore, it will take her 4 hours to paint the entire room. The answer is 4 hours.
Miguel is returning from a trip. In 4 hours, he has driven 2/3 of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination?(1 point)
Responses
6 hours
6 hours
12 hours
12 hours
8/3 hours
Start Fraction 8 over 3 End Fraction hours
8 hours
To solve this problem, we can set up a proportion:
(2/3) of the distance driven / 4 hours = 1 whole distance / x hours
To find x, we can cross multiply and solve for x:
(2/3) * x = 1 * 4
2x/3 = 4
2x = 12
x = 12/2
Therefore, it will take him 6 hours to reach his destination. The answer is 6 hours.
Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2/3 of the floor in 1/3 of an hour. At this rate, how long will it take her to complete the entire floor?(1 point)
Responses
1/2 hours
Start Fraction 1 over 2 End Fraction hours
1 1/2
1 Start Fraction 1 over 2 End Fraction
2/3 hours
Start Fraction 2 over 3 End Fraction hours
1 hour
To solve this problem, we can set up a proportion:
(2/3) of the floor swept / (1/3) hour = 1 whole floor / x hours
To find x, we can cross multiply and solve for x:
(2/3) * x = 1 * (1/3)
2x/3 = 1/3
2x = 1
x = 1/2
Therefore, it will take her 1/2 hour to complete the entire floor. The answer is 1/2 hours.