Question
Question Use the properties of operations and rules for multiplying and dividing to solve: (−3)÷(3/4)×(2/7)×(−5/16)÷(5/7) (1 point)
Answers
Answer
so what is the final answer
Answer
i cant read that
Answer
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)
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(1 point)
Answer
i cant read any of that
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 follow the order of operations while applying the properties of division and multiplication.
1. **Rewrite the expression** to make it easier to handle:
\[
-3 \div \frac{3}{4} \times \frac{2}{7} \times -\frac{5}{16} \div \frac{5}{7}
\]
2. **Convert divisions to multiplications** by taking the reciprocal of the denominators:
\[
-3 \times \frac{4}{3} \times \frac{2}{7} \times -\frac{5}{16} \times \frac{7}{5}
\]
3. **Simplify the expression step by step**:
- Multiply \(-3\) by \(\frac{4}{3}\):
\[
-3 \times \frac{4}{3} = \frac{-12}{3} = -4
\]
- Now multiply \(-4\) by \(\frac{2}{7}\):
\[
-4 \times \frac{2}{7} = \frac{-8}{7}
\]
- Next, multiply \(\frac{-8}{7}\) by \(-\frac{5}{16}\):
\[
\frac{-8}{7} \times -\frac{5}{16} = \frac{40}{112} = \frac{5}{14} \quad (\text{after simplifying})
\]
- Lastly, multiply \(\frac{5}{14}\) by \(\frac{7}{5}\):
\[
\frac{5}{14} \times \frac{7}{5} = \frac{35}{70} = \frac{1}{2} \quad (\text{after simplifying})
\]
4. Thus, the final result is:
\[
\boxed{\frac{1}{2}}
\]
1. **Rewrite the expression** to make it easier to handle:
\[
-3 \div \frac{3}{4} \times \frac{2}{7} \times -\frac{5}{16} \div \frac{5}{7}
\]
2. **Convert divisions to multiplications** by taking the reciprocal of the denominators:
\[
-3 \times \frac{4}{3} \times \frac{2}{7} \times -\frac{5}{16} \times \frac{7}{5}
\]
3. **Simplify the expression step by step**:
- Multiply \(-3\) by \(\frac{4}{3}\):
\[
-3 \times \frac{4}{3} = \frac{-12}{3} = -4
\]
- Now multiply \(-4\) by \(\frac{2}{7}\):
\[
-4 \times \frac{2}{7} = \frac{-8}{7}
\]
- Next, multiply \(\frac{-8}{7}\) by \(-\frac{5}{16}\):
\[
\frac{-8}{7} \times -\frac{5}{16} = \frac{40}{112} = \frac{5}{14} \quad (\text{after simplifying})
\]
- Lastly, multiply \(\frac{5}{14}\) by \(\frac{7}{5}\):
\[
\frac{5}{14} \times \frac{7}{5} = \frac{35}{70} = \frac{1}{2} \quad (\text{after simplifying})
\]
4. Thus, the final result is:
\[
\boxed{\frac{1}{2}}
\]
Answered by
GPT-4o mini
The final answer to the expression
\[
(-3) \div \left(\frac{3}{4}\right) \times \left(\frac{2}{7}\right) \times \left(-\frac{5}{16}\right) \div \left(\frac{5}{7}\right)
\]
is
\[
\boxed{\frac{1}{2}}.
\]
\[
(-3) \div \left(\frac{3}{4}\right) \times \left(\frac{2}{7}\right) \times \left(-\frac{5}{16}\right) \div \left(\frac{5}{7}\right)
\]
is
\[
\boxed{\frac{1}{2}}.
\]
Answered by
GPT-4o mini
I apologize for the confusion. The final answer to the expression is:
**1/2**
If you need any further assistance or clarification, feel free to ask!
**1/2**
If you need any further assistance or clarification, feel free to ask!
Answered by
GPT-4o mini
To solve the expression
\[
\frac{8}{9} \times \left(-\frac{3}{4}\right) \div \frac{1}{9} \times \left(-\frac{4}{5}\right) \div \frac{3}{5},
\]
we will follow the rules for multiplication and division, converting divisions to multiplications by taking the reciprocal of the denominators.
1. **Rewrite the expression**:
\[
\frac{8}{9} \times -\frac{3}{4} \times 9 \times -\frac{4}{5} \times \frac{5}{3}
\]
Note that \(\div \frac{1}{9}\) can be rewritten as \(\times 9\), and \(\div \frac{3}{5}\) can be rewritten as \(\times \frac{5}{3}\).
2. **Combine the multiplications**:
\[
\left(\frac{8}{9} \times -\frac{3}{4} \times 9 \times -\frac{4}{5} \times \frac{5}{3}\right)
\]
3. **Simplify step-by-step**:
- First, multiply \(\frac{8}{9}\) by \(-\frac{3}{4}\):
\[
\frac{8}{9} \times -\frac{3}{4} = -\frac{24}{36} = -\frac{2}{3} \quad (\text{after simplifying})
\]
- Next, multiply \(-\frac{2}{3}\) by \(9\):
\[
-\frac{2}{3} \times 9 = -6
\]
- Now multiply \(-6\) by \(-\frac{4}{5}\):
\[
-6 \times -\frac{4}{5} = \frac{24}{5}
\]
- Finally, multiply \(\frac{24}{5}\) by \(\frac{5}{3}\):
\[
\frac{24}{5} \times \frac{5}{3} = \frac{120}{15} = 8 \quad (\text{after simplifying})
\]
So, the final answer is:
\[
\boxed{8}
\]
\[
\frac{8}{9} \times \left(-\frac{3}{4}\right) \div \frac{1}{9} \times \left(-\frac{4}{5}\right) \div \frac{3}{5},
\]
we will follow the rules for multiplication and division, converting divisions to multiplications by taking the reciprocal of the denominators.
1. **Rewrite the expression**:
\[
\frac{8}{9} \times -\frac{3}{4} \times 9 \times -\frac{4}{5} \times \frac{5}{3}
\]
Note that \(\div \frac{1}{9}\) can be rewritten as \(\times 9\), and \(\div \frac{3}{5}\) can be rewritten as \(\times \frac{5}{3}\).
2. **Combine the multiplications**:
\[
\left(\frac{8}{9} \times -\frac{3}{4} \times 9 \times -\frac{4}{5} \times \frac{5}{3}\right)
\]
3. **Simplify step-by-step**:
- First, multiply \(\frac{8}{9}\) by \(-\frac{3}{4}\):
\[
\frac{8}{9} \times -\frac{3}{4} = -\frac{24}{36} = -\frac{2}{3} \quad (\text{after simplifying})
\]
- Next, multiply \(-\frac{2}{3}\) by \(9\):
\[
-\frac{2}{3} \times 9 = -6
\]
- Now multiply \(-6\) by \(-\frac{4}{5}\):
\[
-6 \times -\frac{4}{5} = \frac{24}{5}
\]
- Finally, multiply \(\frac{24}{5}\) by \(\frac{5}{3}\):
\[
\frac{24}{5} \times \frac{5}{3} = \frac{120}{15} = 8 \quad (\text{after simplifying})
\]
So, the final answer is:
\[
\boxed{8}
\]
Answered by
GPT-4o mini
I apologize for the confusion! Let me clearly summarize the answer for you in a more straightforward way.
**To solve the expression:**
\[
\frac{8}{9} \times \left(-\frac{3}{4}\right) \div \frac{1}{9} \times \left(-\frac{4}{5}\right) \div \frac{3}{5}
\]
**Here's the step-by-step approach:**
1. **Convert divisions to multiplications:**
- \(\div \frac{1}{9}\) becomes \(\times 9\)
- \(\div \frac{3}{5}\) becomes \(\times \frac{5}{3}\)
**The expression becomes:**
\[
\frac{8}{9} \times \left(-\frac{3}{4}\right) \times 9 \times \left(-\frac{4}{5}\right) \times \frac{5}{3}
\]
2. **Now, multiply the terms step-by-step:**
- **First part:**
\(\frac{8}{9} \times -\frac{3}{4} = -\frac{24}{36} = -\frac{2}{3} \)
- **Next:**
\(-\frac{2}{3} \times 9 = -6 \)
- **Then:**
\(-6 \times -\frac{4}{5} = \frac{24}{5} \)
- **Finally:**
\(\frac{24}{5} \times \frac{5}{3} = 8 \)
**The final answer is:**
\[
\boxed{8}
\]
If you need it in a different format or if you have any other questions, please let me know!
**To solve the expression:**
\[
\frac{8}{9} \times \left(-\frac{3}{4}\right) \div \frac{1}{9} \times \left(-\frac{4}{5}\right) \div \frac{3}{5}
\]
**Here's the step-by-step approach:**
1. **Convert divisions to multiplications:**
- \(\div \frac{1}{9}\) becomes \(\times 9\)
- \(\div \frac{3}{5}\) becomes \(\times \frac{5}{3}\)
**The expression becomes:**
\[
\frac{8}{9} \times \left(-\frac{3}{4}\right) \times 9 \times \left(-\frac{4}{5}\right) \times \frac{5}{3}
\]
2. **Now, multiply the terms step-by-step:**
- **First part:**
\(\frac{8}{9} \times -\frac{3}{4} = -\frac{24}{36} = -\frac{2}{3} \)
- **Next:**
\(-\frac{2}{3} \times 9 = -6 \)
- **Then:**
\(-6 \times -\frac{4}{5} = \frac{24}{5} \)
- **Finally:**
\(\frac{24}{5} \times \frac{5}{3} = 8 \)
**The final answer is:**
\[
\boxed{8}
\]
If you need it in a different format or if you have any other questions, please let me know!
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