Question

Divide and simplify.

- 5/8 / 4/5



Responses
A −2
B − 1/2

C


− 25/32

D 1/2

Answer 1

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.

So we have:

\[
-\frac{5}{8} \div \frac{4}{5} = -\frac{5}{8} \times \frac{5}{4}
\]

Now, multiply the fractions:

\[
-\frac{5 \times 5}{8 \times 4} = -\frac{25}{32}
\]

Thus, the simplified result is:

\[
-\frac{25}{32}
\]

The correct answer is:

**C** \(-\frac{25}{32}\)

Answer 2

Multiply.

− 1/2 x 3/7
Responses
A − 3/14
B



− 3/9
C



3/14


D 1/3

Answer 3

To multiply fractions, you simply multiply the numerators together and the denominators together.

Given:

\[
-\frac{1}{2} \times \frac{3}{7}
\]

Multiply the numerators:

\[
-1 \times 3 = -3
\]

Multiply the denominators:

\[
2 \times 7 = 14
\]

So,

\[
-\frac{1}{2} \times \frac{3}{7} = -\frac{3}{14}
\]

The correct answer is:

**A** \(-\frac{3}{14}\)

Answer 4

4 1/3 / -1 1/5
Find the quotient above.
Responses
A

3 and 11 over 18
B

negative 4 and 1 third
C

negative 3 and 11 over 18
D 4 1/3

Answer 5

To find the quotient of the mixed numbers \(4 \frac{1}{3}\) and \(-1 \frac{1}{5}\), we first convert them to improper fractions.

1. Convert \(4 \frac{1}{3}\):

\[
4 \frac{1}{3} = \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3}
\]

2. Convert \(-1 \frac{1}{5}\):

\[
-1 \frac{1}{5} = -\left(\frac{1 \times 5 + 1}{5}\right) = -\left(\frac{5 + 1}{5}\right) = -\frac{6}{5}
\]

Now, we divide the two improper fractions:

\[
\frac{13}{3} \div -\frac{6}{5}
\]

To divide by a fraction, we multiply by its reciprocal:

\[
\frac{13}{3} \times -\frac{5}{6}
\]

Now, we multiply the fractions:

\[
\frac{13 \times -5}{3 \times 6} = \frac{-65}{18}
\]

Next, let's convert \(-\frac{65}{18}\) back to a mixed number:

1. Divide \(65\) by \(18\):

\[
65 \div 18 = 3 \quad (\text{with a remainder of } 11)
\]

So, we can write:

\[
-\frac{65}{18} = -3 \frac{11}{18}
\]

The correct answer is:

**C** \(-3 \frac{11}{18}\)

Answer 6

Multiply: (−14)(28)
Responses
A −392−392
B −378−378
C 378378
D 392

Answer 7

To multiply \(-14\) and \(28\):

\[
(-14) \times 28 = -392
\]

Thus, the result is:

**A** \(-392\)

Answer 8

(2.5)(−1.3) =
Responses
A 3.253.25
B 1.21.2
C −1.2−1.2
D −3.25

Answer 9

To multiply \(2.5\) and \(-1.3\):

\[
(2.5)(-1.3) = -3.25
\]

Thus, the result is:

**D** \(-3.25\)

Answer 10

-4.32 × -1.25
Responses
A -5.4-5.4
B -6.125-6.125
C 5.45.4
D 6.125

Answer 11

To multiply \(-4.32\) and \(-1.25\):

\[
(-4.32) \times (-1.25) = 5.40
\]

Thus, the result is:

**C** \(5.4\)