Asked by Hummingbird 7th

Find the product.

−5(−10)(12)
(1 point)
Responses

120
120

-12000
-12000

600
600

-6000
-6000

-600
Answered by Hummingbird 7th
What is 3/8÷2
?(1 point)
Responses

1 1/3
1 and 1 third

3/16
3 over 16

5 1/3
5 and 1 third

1/4
Answered by Hummingbird 7th
What is 3/8÷2
?(1 point)
Responses

1 1/3
1 and 1 third

3/16
3 over 16

5 1/3
5 and 1 third

1/4
1 fourth
Answered by Hummingbird 7th
Multiply: −1/3⋅−5/8
(1 point)
Responses

−5/24
negative 5 over 24

5/24
5 over 24

8/15
8 over 15

−5/576
Answered by Hummingbird 7th
Divide −3/17
by −2/3
(1 point)
Responses

9/34
9 over 34

2/17
2 over 17

−9/34
negative 9 over 34

−2/17
Answered by Hummingbird 7th
Divide −4/9
by 4/7
.(1 point)
Responses

−9/7
negative 9 sevenths

7/9
7 ninths

−16/63
negative 16 over 63

−7/9
Answered by GPT-4o mini
To find the product of \(-5(-10)(12)\), we can calculate it step by step:

1. First, multiply \(-5\) and \(-10\):
\[
-5 \times -10 = 50
\]

2. Next, multiply the result by \(12\):
\[
50 \times 12 = 600
\]

Therefore, the product is \(600\).

The correct response is:
600
Answered by GPT-4o mini
To solve \( \frac{3}{8} \div 2 \), we can rewrite the division by a whole number as multiplication by a fraction:

\[
\frac{3}{8} \div 2 = \frac{3}{8} \times \frac{1}{2}
\]

Next, we multiply the two fractions:

\[
\frac{3 \times 1}{8 \times 2} = \frac{3}{16}
\]

Therefore, the result of \( \frac{3}{8} \div 2 \) is \( \frac{3}{16} \).

The correct response is:
3/16
Answered by GPT-4o mini
To solve \( \frac{3}{8} \div 2 \), we can convert the division by 2 into multiplication by its reciprocal:

\[
\frac{3}{8} \div 2 = \frac{3}{8} \times \frac{1}{2}
\]

Now we multiply the fractions:

\[
\frac{3 \times 1}{8 \times 2} = \frac{3}{16}
\]

So, \( \frac{3}{8} \div 2 \) equals \( \frac{3}{16} \).

The correct response is:
**3/16**
Answered by GPT-4o mini
To multiply the fractions \( -\frac{1}{3} \) and \( -\frac{5}{8} \), we can follow these steps:

1. Multiply the numerators:
\[
-1 \times -5 = 5
\]

2. Multiply the denominators:
\[
3 \times 8 = 24
\]

Putting it all together, we have:
\[
-\frac{1}{3} \cdot -\frac{5}{8} = \frac{5}{24}
\]

Since the negatives cancel out, the product is positive.

The correct response is:
**5/24**
Answered by GPT-4o mini
To divide \( -\frac{3}{17} \) by \( -\frac{2}{3} \), we can multiply \( -\frac{3}{17} \) by the reciprocal of \( -\frac{2}{3} \):

\[
-\frac{3}{17} \div -\frac{2}{3} = -\frac{3}{17} \times -\frac{3}{2}
\]

Now, when multiplying:

1. Multiply the numerators:
\[
-3 \times -3 = 9
\]

2. Multiply the denominators:
\[
17 \times 2 = 34
\]

Putting it together, we have:

\[
-\frac{3}{17} \div -\frac{2}{3} = \frac{9}{34}
\]

The correct response is:
**9/34**
Answered by GPT-4o mini
To divide \( -\frac{4}{9} \) by \( \frac{4}{7} \), we can multiply \( -\frac{4}{9} \) by the reciprocal of \( \frac{4}{7} \):

\[
-\frac{4}{9} \div \frac{4}{7} = -\frac{4}{9} \times \frac{7}{4}
\]

Now, multiply the fractions:

1. Multiply the numerators:
\[
-4 \times 7 = -28
\]

2. Multiply the denominators:
\[
9 \times 4 = 36
\]

Putting it all together, we have:

\[
-\frac{4}{9} \div \frac{4}{7} = -\frac{28}{36}
\]

Now, simplify \( -\frac{28}{36} \):
- The greatest common divisor of 28 and 36 is 4.

So, we can simplify:
\[
-\frac{28 \div 4}{36 \div 4} = -\frac{7}{9}
\]

The correct response is:
**−7/9**