- 5/8 / 4/5
Responses
A −2
B − 1/2
C
− 25/32
D 1/2
11 answers
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 \(-\frac{25}{32}\)
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 \(-\frac{3}{14}\)
To find the quotient of the mixed numbers \(4 \frac{1}{3}\) and \(-1 \frac{1}{5}\), we first convert them to improper fractions.
\[ 4 \frac{1}{3} = \frac{4 \times 3 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \]
\[ -1 \frac{1}{5} = -\left(\frac{1 \times 5 + 1}{5}\right) = -\left(\frac{5 + 1}{5}\right) = -\frac{6}{5} \]
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:
\[ 65 \div 18 = 3 \quad (\text{with a remainder of } 11) \]
So, we can write:
\[ -\frac{65}{18} = -3 \frac{11}{18} \]
The correct answer is:
C \(-3 \frac{11}{18}\)
To multiply \(-14\) and \(28\):
\[ (-14) \times 28 = -392 \]
Thus, the result is:
A \(-392\)
To multiply \(2.5\) and \(-1.3\):
\[ (2.5)(-1.3) = -3.25 \]
Thus, the result is:
D \(-3.25\)
To multiply \(-4.32\) and \(-1.25\):
\[ (-4.32) \times (-1.25) = 5.40 \]
Thus, the result is:
C \(5.4\)
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