Question
1) \( \frac{78_{7}^{7}}{2}= \) Räknatut 4) \( \frac{57}{3}= \) 7) \( \frac{75}{5}= \) 10) \( \frac{91}{7}= \) 13) \( \frac{84}{3}= \) 6) \( \frac{96}{8}= \)
Ask by Deleon Bartlett. in Sweden
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1. \( \frac{78}{2} = 39 \)
2. \( \frac{57}{3} = 19 \)
3. \( \frac{75}{5} = 15 \)
4. \( \frac{91}{7} = 13 \)
5. \( \frac{84}{3} = 28 \)
6. \( \frac{96}{8} = 12 \)
Solution
**1) Calculation of \(\frac{78}{2}\):**
- We divide \(78\) by \(2\):
\[
\frac{78}{2}=39
\]
**4) Calculation of \(\frac{57}{3}\):**
- We divide \(57\) by \(3\):
\[
\frac{57}{3}=19
\]
**7) Calculation of \(\frac{75}{5}\):**
- We divide \(75\) by \(5\):
\[
\frac{75}{5}=15
\]
**10) Calculation of \(\frac{91}{7}\):**
- We divide \(91\) by \(7\):
\[
\frac{91}{7}=13
\]
**13) Calculation of \(\frac{84}{3}\):**
- We divide \(84\) by \(3\):
\[
\frac{84}{3}=28
\]
**6) Calculation of \(\frac{96}{8}\):**
- We divide \(96\) by \(8\):
\[
\frac{96}{8}=12
\]
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Beyond the Answer
För att lösa \( \frac{78_{7}^{7}}{2} \), måste vi först konvertera 78 från bas 7 till bas 10. 78 i bas 7 är \( 7 \times 7^1 + 8 \times 7^0 = 49 + 8 = 57 \). Så \( \frac{57}{2} = 28.5 \). För räkningarna så får vi följande: \( \frac{57}{3} = 19 \), \( \frac{75}{5} = 15 \), \( \frac{91}{7} = 13 \), \( \frac{84}{3} = 28 \), \( \frac{96}{8} = 12 \). Så här har vi alla resultaten i en nöjd och klar formulering!