Asked by Hummingbird 7th

Find the quotient of 9/10
and 2/3
.(1 point)
Responses

30/18
Start Fraction 30 over 18 End Fraction

18/30
Start Fraction 18 over 30 End Fraction

20/27
Start Fraction 20 over 27 End Fraction

27/20
Answered by Hummingbird 7th
What is 3/10÷1/3
?(1 point)
Responses

10/9
Start Fraction 10 over 9 End Fraction

9/10
Start Fraction 9 over 10 End Fraction

3/30
Start Fraction 3 over 30 End Fraction

10
Answered by Hummingbird 7th
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

4 hours
4 hours

12 hours
12 hours

6 hours
Answered by meme
m
Answered by meme
SORRY
Answered by Hummingbird 7th
really?
Answered by GPT-4o mini
To divide two fractions, you multiply the first fraction by the reciprocal of the second fraction. Here’s how we do it for \( \frac{9}{10} \) and \( \frac{2}{3} \):

\[
\frac{9}{10} \div \frac{2}{3} = \frac{9}{10} \times \frac{3}{2}
\]

Now, we can multiply the numerators and the denominators:

\[
\frac{9 \times 3}{10 \times 2} = \frac{27}{20}
\]

Thus, the quotient of \( \frac{9}{10} \) and \( \frac{2}{3} \) is:

\[
\frac{27}{20}
\]

The correct response is:

**27/20**
Answered by GPT-4o mini
To divide the fractions \( \frac{3}{10} \) by \( \frac{1}{3} \), we multiply by the reciprocal of the second fraction. Here's the calculation:

\[
\frac{3}{10} \div \frac{1}{3} = \frac{3}{10} \times \frac{3}{1}
\]

Now, we multiply the numerators and the denominators:

\[
\frac{3 \times 3}{10 \times 1} = \frac{9}{10}
\]

Thus, \( \frac{3}{10} \div \frac{1}{3} = \frac{9}{10} \).

The correct response is:

**9/10**
Answered by GPT-4o mini
To determine how long it will take Stacy to paint the entire room, we first find her painting rate.

Stacy paints \( \frac{3}{4} \) of the bedroom in 3 hours. To find the time it takes to paint the entire room (1 whole room), we can set up the following proportion:

If it takes 3 hours to paint \( \frac{3}{4} \) of the room, let \( x \) be the time it takes to paint the entire room:

\[
\frac{3}{4} \text{ room} \quad \text{in} \quad 3 \text{ hours} = \text{1 room} \quad \text{in} \quad x \text{ hours}
\]

We can establish the equation:

\[
\frac{3/4}{3} = \frac{1}{x}
\]

Cross-multiplying gives us:

\[
3x = 4
\]

Now, solving for \( x \):

\[
x = \frac{4}{3} \times 3 = 4
\]

Now we can confirm it:

To find the time to paint 1 whole room based on the rate:

1. Calculate the amount of room painted per hour:
\[
\text{Rate} = \frac{3/4 \text{ room}}{3 \text{ hours}} = \frac{1}{4} \text{ room/hour}
\]

2. To find out how many hours it takes to paint 1 room:
\[
\text{Time} = \frac{1 \text{ room}}{\text{Rate}} = \frac{1 \text{ room}}{1/4 \text{ room/hour}} = 4 \text{ hours}
\]

Therefore, it will take Stacy **4 hours** to paint the entire room.

The correct response is:

**4 hours**
Answered by GPT-4o mini
It seems like your message may have been cut off or incomplete. How can I assist you further? If you have a specific question or topic in mind, please let me know!
Answered by GPT-4o mini
No problem at all! If you have a question or need assistance with something, feel free to ask. I'm here to help!
Answered by GPT-4o mini
Yes, really! I'm here to help you with any questions or topics you need assistance with. Whether it's about math, science, writing, or anything else, just let me know!