Question Convert temperature from Fahrenheit to Celsius given $101^\circ F$ .

Studdy Solution

STEP 1

Assumptions
1. The temperature in Fahrenheit to be converted is $101^{\circ} \mathrm{F}$ .
2. The formula to convert Fahrenheit to Celsius is $C = \frac{5}{9}(F - 32)$ , where $C$ is the temperature in Celsius and $F$ is the temperature in Fahrenheit.

STEP 2

Write down the formula for converting Fahrenheit to Celsius.
$C = \frac{5}{9}(F - 32)$

STEP 3

Substitute $101^{\circ} \mathrm{F}$ for $F$ in the formula.
$C = \frac{5}{9}(101 - 32)$

STEP 4

Subtract 32 from 101 to find the temperature in Fahrenheit above the freezing point of water.
$C = \frac{5}{9}(101 - 32) = \frac{5}{9}(69)$

STEP 5

Multiply 69 by $\frac{5}{9}$ to convert the temperature to Celsius.
$C = \frac{5}{9} \times 69$

STEP 6

Calculate the product.
$C = \frac{5 \times 69}{9}$

STEP 7

Divide 69 by 9.
$C = \frac{5 \times 69}{9} = 5 \times \frac{69}{9} = 5 \times 7.666\ldots$

STEP 8

Multiply 5 by 7.666... (which is $\frac{69}{9}$ ).
$C = 5 \times 7.666\ldots$

STEP 9

Calculate the final result.
$C = 5 \times 7.666\ldots \approx 38.333\ldots$

STEP 10

Round the result to a reasonable number of decimal places. In this case, we will round to two decimal places.
$C \approx 38.33^{\circ} \mathrm{C}$
The temperature $101^{\circ} \mathrm{F}$ is approximately equal to $38.33^{\circ} \mathrm{C}$ .

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Question Convert temperature from Fahrenheit to Celsius given $101^\circ F$ .

Studdy Solution

STEP 1

Assumptions
1. The temperature in Fahrenheit to be converted is $101^{\circ} \mathrm{F}$ .
2. The formula to convert Fahrenheit to Celsius is $C = \frac{5}{9}(F - 32)$ , where $C$ is the temperature in Celsius and $F$ is the temperature in Fahrenheit.

STEP 2

Write down the formula for converting Fahrenheit to Celsius.
$C = \frac{5}{9}(F - 32)$

STEP 3

Substitute $101^{\circ} \mathrm{F}$ for $F$ in the formula.
$C = \frac{5}{9}(101 - 32)$

STEP 4

Subtract 32 from 101 to find the temperature in Fahrenheit above the freezing point of water.
$C = \frac{5}{9}(101 - 32) = \frac{5}{9}(69)$

STEP 5

Multiply 69 by $\frac{5}{9}$ to convert the temperature to Celsius.
$C = \frac{5}{9} \times 69$

STEP 6

Calculate the product.
$C = \frac{5 \times 69}{9}$

STEP 7

Divide 69 by 9.
$C = \frac{5 \times 69}{9} = 5 \times \frac{69}{9} = 5 \times 7.666\ldots$

STEP 8

Multiply 5 by 7.666... (which is $\frac{69}{9}$ ).
$C = 5 \times 7.666\ldots$

STEP 9

Calculate the final result.
$C = 5 \times 7.666\ldots \approx 38.333\ldots$

STEP 10

Round the result to a reasonable number of decimal places. In this case, we will round to two decimal places.
$C \approx 38.33^{\circ} \mathrm{C}$
The temperature $101^{\circ} \mathrm{F}$ is approximately equal to $38.33^{\circ} \mathrm{C}$ .

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Question Convert temperature from Fahrenheit to Celsius given 101∘F101^\circ F101∘F.

Studdy Solution

STEP 1

Assumptions1. The temperature in Fahrenheit to be converted is 101∘F101^{\circ} \mathrm{F}101∘F.2. The formula to convert Fahrenheit to Celsius is C=59(F−32)C = \frac{5}{9}(F - 32)C=95​(F−32), where CCC is the temperature in Celsius and FFF is the temperature in Fahrenheit.

STEP 2

Write down the formula for converting Fahrenheit to Celsius.C=59(F−32)C = \frac{5}{9}(F - 32)C=95​(F−32)

STEP 3

Substitute 101∘F101^{\circ} \mathrm{F}101∘F for FFF in the formula.C=59(101−32)C = \frac{5}{9}(101 - 32)C=95​(101−32)

STEP 4

Subtract 32 from 101 to find the temperature in Fahrenheit above the freezing point of water.C=59(101−32)=59(69)C = \frac{5}{9}(101 - 32) = \frac{5}{9}(69)C=95​(101−32)=95​(69)

STEP 5

Multiply 69 by 59\frac{5}{9}95​ to convert the temperature to Celsius.C=59×69C = \frac{5}{9} \times 69C=95​×69

STEP 6

Calculate the product.C=5×699C = \frac{5 \times 69}{9}C=95×69​

STEP 7

Divide 69 by 9.C=5×699=5×699=5×7.666…C = \frac{5 \times 69}{9} = 5 \times \frac{69}{9} = 5 \times 7.666\ldotsC=95×69​=5×969​=5×7.666…

STEP 8

Multiply 5 by 7.666... (which is 699\frac{69}{9}969​).C=5×7.666…C = 5 \times 7.666\ldotsC=5×7.666…

STEP 9

Calculate the final result.C=5×7.666…≈38.333…C = 5 \times 7.666\ldots \approx 38.333\ldotsC=5×7.666…≈38.333…

STEP 10

Round the result to a reasonable number of decimal places. In this case, we will round to two decimal places.C≈38.33∘CC \approx 38.33^{\circ} \mathrm{C}C≈38.33∘CThe temperature 101∘F101^{\circ} \mathrm{F}101∘F is approximately equal to 38.33∘C38.33^{\circ} \mathrm{C}38.33∘C.

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Question Convert temperature from Fahrenheit to Celsius given $101^\circ F$ .

Assumptions
1. The temperature in Fahrenheit to be converted is $101^{\circ} \mathrm{F}$ .
2. The formula to convert Fahrenheit to Celsius is $C = \frac{5}{9}(F - 32)$ , where $C$ is the temperature in Celsius and $F$ is the temperature in Fahrenheit.

Write down the formula for converting Fahrenheit to Celsius.
$C = \frac{5}{9}(F - 32)$

Substitute $101^{\circ} \mathrm{F}$ for $F$ in the formula.
$C = \frac{5}{9}(101 - 32)$

Subtract 32 from 101 to find the temperature in Fahrenheit above the freezing point of water.
$C = \frac{5}{9}(101 - 32) = \frac{5}{9}(69)$

Multiply 69 by $\frac{5}{9}$ to convert the temperature to Celsius.
$C = \frac{5}{9} \times 69$

Calculate the product.
$C = \frac{5 \times 69}{9}$

Divide 69 by 9.
$C = \frac{5 \times 69}{9} = 5 \times \frac{69}{9} = 5 \times 7.666\ldots$

Multiply 5 by 7.666... (which is $\frac{69}{9}$ ).
$C = 5 \times 7.666\ldots$

Calculate the final result.
$C = 5 \times 7.666\ldots \approx 38.333\ldots$

Round the result to a reasonable number of decimal places. In this case, we will round to two decimal places.
$C \approx 38.33^{\circ} \mathrm{C}$
The temperature $101^{\circ} \mathrm{F}$ is approximately equal to $38.33^{\circ} \mathrm{C}$ .