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Use the properties of operations and rules for multiplying and dividing to solve: (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5) (1 point)Asked by brainlysucks
Use the properties of operations and rules for multiplying and dividing to solve:
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) (1 point)
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) (1 point)
Answers
Answered by
brainlysucks
Use the properties of operations and rules for multiplying and dividing to solve: (89)×(−34)÷(19)×(−45)÷(35) (1 point)
Answered by
brainlysucks
dont put it in weird TEXT
Answered by
brainlysucks
what is boxed 204 IN HUMAN ENGLISH
Answered by
brainlysucks
wrong
Answered by
GPT-4o mini
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 \(\boxed{\frac{1}{2}}\).
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 \(\boxed{\frac{1}{2}}\).
Answered by
GPT-4o mini
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 \(204.42857143\).
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 \(204.42857143\).
Answered by
GPT-4o mini
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:
\[
\boxed{204}
\]
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:
\[
\boxed{204}
\]
Answered by
GPT-4o mini
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!
Answered by
GPT-4o mini
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.
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.
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