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

Question

(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) (1 point)

Answer 1

To solve the expression \((-3) \div \left(\frac{3}{4}\right) \times \left(\frac{2}{7}\right) \times \left(-\frac{5}{16}\right) \div \left(\frac{5}{7}\right)\), we will simplify the expression step by step.

1. Divide by a fraction: Dividing by a fraction is the same as multiplying by its reciprocal. \[ (-3) \div \left(\frac{3}{4}\right) = (-3) \times \left(\frac{4}{3}\right) = -\frac{12}{3} = -4 \]

2. Substituting back into the expression: Now our expression looks like this: \[ -4 \times \left(\frac{2}{7}\right) \times \left(-\frac{5}{16}\right) \div \left(\frac{5}{7}\right) \]

3. Continuing with the division: \[ \div \left(\frac{5}{7}\right) = \times \left(\frac{7}{5}\right) \] So we can replace the division: \[ -4 \times \left(\frac{2}{7}\right) \times \left(-\frac{5}{16}\right) \times \left(\frac{7}{5}\right) \]

4. Multiplying the negative values: The product of two negative numbers is positive: \[ -4 \times \left(\frac{2}{7}\right) \times \left(-\frac{5}{16}\right) = 4 \times \left(\frac{2}{7}\right) \times \left(\frac{5}{16}\right) \]

5. Combining: \[ 4 \times \left(\frac{2}{7}\right) \times \left(\frac{5}{16}\right) \times \left(\frac{7}{5}\right) \]

6. Breaking it down: \[ = 4 \times \frac{2}{7} \times \frac{5}{16} \times \frac{7}{5} \] Notice that the \(5\)s cancel: \[ = 4 \times \frac{2}{7} \times \frac{7}{16} \]

7. Canceling the \(7\)s: \[ = 4 \times \frac{2}{16} \]

8. Calculate \( \frac{2}{16} \): \[ \frac{2}{16} = \frac{1}{8} \]

9. Final Multiplication: \[ = 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \]

Thus, the final result of the expression is \(\boxed{\frac{1}{2}}\).

Answer 2

Use the properties of operations and rules for multiplying and dividing to solve: (89)×(−34)÷(19)×(−45)÷(35) (1 point)

Answer 3

To solve the expression \( (89) \times (-34) \div (19) \times (-45) \div (35) \), we will simplify this step by step, taking care to follow the order of operations and the rules for multiplying and dividing.

1. Start with the multiplication and division: We will perform the operations in order from left to right.

   Let's rewrite the expression for clarity: \[ 89 \times (-34) \div 19 \times (-45) \div 35 \]

2. Calculate \( 89 \times (-34) \): \[ 89 \times (-34) = -3026 \]

3. Now substitute that back into the expression: \[ -3026 \div 19 \times (-45) \div 35 \]

4. Divide \(-3026\) by \(19\): \[ -3026 \div 19 = -159 \]

5. Now substitute back into the expression: \[ -159 \times (-45) \div 35 \]

6. Multiply \(-159\) by \(-45\) (the product of two negatives is positive): \[ -159 \times (-45) = 7155 \]

7. Now divide \(7155\) by \(35\): \[ 7155 \div 35 = 204.42857143 \]

For practical purposes, if we want to express it as a more recognizable fraction, we can express it as:

\[ 7155 = 35 \times 204 + 5 \quad \text{(where the remainder is 5)} \] This means that:

\[ 7155 \div 35 = 204 \frac{5}{35} = 204 \frac{1}{7} \]

Thus, the final answer is:

\[ \boxed{204.42857143} \text{ or } \boxed{204 \frac{1}{7}}. \]

If this was meant to be a whole number, the appropriate output based on the calculations would still remain as \(204.42857143\).

Answer 4

dont put it in weird TEXT

Answer 5

Apologies for the confusion! Let me summarize the solution clearly without extra formatting.

We want to evaluate the expression:

\[ (89) \times (-34) \div (19) \times (-45) \div (35) \]

1. Start by calculating \( 89 \times (-34) \): \[ 89 \times (-34) = -3026 \]

2. Now divide by \( 19 \): \[ -3026 \div 19 = -159 \]

3. Next, multiply by \( -45 \): \[ -159 \times (-45) = 7155 \]

4. Finally, divide by \( 35 \): \[ 7155 \div 35 = 204 \]

So, the final answer is:

\[ \boxed{204} \]

Answer 6

what is boxed 204 IN HUMAN ENGLISH

Answer 7

The boxed 204 simply means the final answer is 204. It represents the result of the calculation we performed in the expression. Thank you for your patience!

Answer 8

wrong

Answer 9

I apologize for any confusion in my previous calculations. Let's carefully re-evaluate the expression step by step.

Given the expression:

\[ (89) \times (-34) \div (19) \times (-45) \div (35) \]

1. Calculate \( 89 \times (-34) \): \[ 89 \times (-34) = -3026 \]

2. Now divide by \( 19 \): \[ -3026 \div 19 = -159 \]

3. Next, multiply by \( -45 \): \[ -159 \times (-45) = 7155 \]

4. Finally, divide by \( 35 \): \[ 7155 \div 35 = 204.4285714285714 \]

   To simplify: \[ 7155 \div 35 = 204 \text{ remainder } 5 \] This can be expressed as: \[ 204 \text{ and } \frac{5}{35} \quad \Rightarrow \quad 204 \text{ and } \frac{1}{7} \quad \Rightarrow \quad 204.14285714285714 \]

So, the final result is approximately \( 204.428571 \) or as a mixed number \( 204 \frac{1}{7} \).

If you meant something else, please specify, and I'm here to help! Thank you for your understanding.