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Use the properties of operations and rules for multiplying and dividing to solve:

(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)


(1 point)

7 answers

To solve the expression \((-\frac{3}{5}) \times (\frac{5}{16}) \times (\frac{7}{12}) \div (-\frac{3}{16}) \times (-\frac{5}{7})\), we will follow the order of operations and simplify step by step.

First, let's rewrite the division as multiplication by the reciprocal:

\[ (-\frac{3}{5}) \times (\frac{5}{16}) \times (\frac{7}{12}) \times (-\frac{16}{3}) \times (-\frac{7}{5}) \]

Now we can combine the negative signs:

\[ (- \times - \times -) = - \quad \text{(odd number of negatives)} \] This means the result will be negative.

Now we can multiply the fractions together. We can group the fractions for easier calculation:

\[ -\left(\frac{3 \times 5 \times 7 \times 16 \times 7}{5 \times 16 \times 12 \times 3}\right) \]

Now we will simplify:

  1. The \(5\) in the numerator and denominator cancels out:

    \[ 5 \text{ cancels with another } 5 \]

  2. The \(16\) in the numerator and denominator cancels out:

    \[ 16 \text{ cancels with the } 16 \]

  3. The \(3\) in the numerator and denominator cancels out:

    \[ 3 \text{ cancels with the } 3 \]

The expression now simplifies to:

\[ -\left(\frac{7 \times 7}{12}\right) = -\left(\frac{49}{12}\right) \]

Thus, the final result is:

\[ -\frac{49}{12} \]

So the answer is:

\[ \boxed{-\frac{49}{12}} \]

what is the final answer

The final answer to the expression

\[ (-\frac{3}{5}) \times (\frac{5}{16}) \times (\frac{7}{12}) \div (-\frac{3}{16}) \times (-\frac{5}{7}) \]

is

\[ \boxed{-\frac{49}{12}}. \]

i cant read that

I apologize for any confusion. The final answer is:

−49/12

This is a negative fraction. If you have any further questions or need additional help, feel free to ask!

make the answer a mixed number

To convert the improper fraction \(-\frac{49}{12}\) into a mixed number, we first divide the numerator (49) by the denominator (12).

  1. Divide: \(49 \div 12 = 4\) with a remainder of \(1\).

    This means \(49 = 12 \times 4 + 1\).

  2. Combine:

    • The whole number part is \(4\).
    • The remainder is \(1\), and the denominator is \(12\), so we have \(\frac{1}{12}\).

Thus, \(-\frac{49}{12}\) as a mixed number is:

\[ -4 \frac{1}{12} \]

So the final answer in mixed number form is:

−4 1/12