Question

date: 10/1/25

1. 68°f
2. 25°c
3. 52°f
4. 17°c
5. 9°c
6. 3°c
7. 44°f
8. 196°f
9. 47°f
10. 35°c
11. 26°c
12. 19°c
13. 33°f
14. 93°f
15. 77°f

Explanation:

1. The formula for converting Fahrenheit ($F$) to Celsius ($C$) is $C=\frac{5}{9}(F - 32)$ and for converting Celsius to Fahrenheit is $F=\frac{9}{5}C+32$.

Step1: Convert 68°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 68$ into the formula:
$C=\frac{5}{9}(68 - 32)=\frac{5}{9}\times36 = 20^{\circ}C$

Step2: Convert 25°C to Fahrenheit

Use the formula $F=\frac{9}{5}C+32$. Substitute $C = 25$ into the formula:
$F=\frac{9}{5}\times25+32=45 + 32=77^{\circ}F$

Step3: Convert 52°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 52$ into the formula:
$C=\frac{5}{9}(52 - 32)=\frac{5}{9}\times20=\frac{100}{9}\approx11.1^{\circ}C$

Step4: Convert 17°C to Fahrenheit

Use the formula $F=\frac{9}{5}C+32$. Substitute $C = 17$ into the formula:
$F=\frac{9}{5}\times17+32=\frac{153}{5}+32 = 30.6+32=62.6^{\circ}F$

Step5: Convert 9°C to Fahrenheit

Use the formula $F=\frac{9}{5}C+32$. Substitute $C = 9$ into the formula:
$F=\frac{9}{5}\times9+32=\frac{81}{5}+32=16.2 + 32=48.2^{\circ}F$

Step6: Convert 3°C to Fahrenheit

Use the formula $F=\frac{9}{5}C+32$. Substitute $C = 3$ into the formula:
$F=\frac{9}{5}\times3+32=\frac{27}{5}+32=5.4+32 = 37.4^{\circ}F$

Step7: Convert 44°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 44$ into the formula:
$C=\frac{5}{9}(44 - 32)=\frac{5}{9}\times12=\frac{20}{3}\approx6.7^{\circ}C$

Step8: Convert 196°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 196$ into the formula:
$C=\frac{5}{9}(196 - 32)=\frac{5}{9}\times164=\frac{820}{9}\approx91.1^{\circ}C$

Step9: Convert 47°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 47$ into the formula:
$C=\frac{5}{9}(47 - 32)=\frac{5}{9}\times15=\frac{25}{3}\approx8.3^{\circ}C$

Step10: Convert 35°C to Fahrenheit

Use the formula $F=\frac{9}{5}C+32$. Substitute $C = 35$ into the formula:
$F=\frac{9}{5}\times35+32=63+32 = 95^{\circ}F$

Step11: Convert 26°C to Fahrenheit

Use the formula $F=\frac{9}{5}C+32$. Substitute $C = 26$ into the formula:
$F=\frac{9}{5}\times26+32=\frac{234}{5}+32=46.8+32 = 78.8^{\circ}F$

Step12: Convert 19°C to Fahrenheit

Use the formula $F=\frac{9}{5}C+32$. Substitute $C = 19$ into the formula:
$F=\frac{9}{5}\times19+32=\frac{171}{5}+32=34.2+32=66.2^{\circ}F$

Step13: Convert 33°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 33$ into the formula:
$C=\frac{5}{9}(33 - 32)=\frac{5}{9}\times1=\frac{5}{9}\approx0.6^{\circ}C$

Step14: Convert 93°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 93$ into the formula:
$C=\frac{5}{9}(93 - 32)=\frac{5}{9}\times61=\frac{305}{9}\approx33.9^{\circ}C$

Step15: Convert 77°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 77$ into the formula:
$C=\frac{5}{9}(77 - 32)=\frac{5}{9}\times45 = 25^{\circ}C$

Step16: Convert 35°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 35$ into the formula:
$C=\frac{5}{9}(35 - 32)=\frac{5}{9}\times3=\frac{5}{3}\approx1.7^{\circ}C$

Step17: Convert 117°F to Celsius

Use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 117$ into the formula:
$C=\frac{5}{9}(117 - 32)=\frac{5}{9}\times85=\frac{425}{9}\approx47.2^{\circ}C$

Answer:

1. $20^{\circ}C$
2. $77^{\circ}F$
3. $11.1^{\circ}C$
4. $62.6^{\circ}F$
5. $48.2^{\circ}F$
6. $37.4^{\circ}F$
7. $6.7^{\circ}C$
8. $91.1^{\circ}C$
9. $8.3^{\circ}C$
10. $95^{\circ}F$
11. $78.8^{\circ}F$
12. $66.2^{\circ}F$
13. $0.6^{\circ}C$
14. $33.9^{\circ}C$
15. $25^{\circ}C$

35°F: $1.7^{\circ}C$
117°F: $47.2^{\circ}C$