# Temperature Conversion

## Convert Temperature Units

Today, we'll focus on how to switch between Fahrenheit and Celsius temperature units. These two scales are used in different parts of the world to measure temperature. Knowing how to convert between them is helpful, especially if you're reading weather reports or cooking recipes from other countries.

## Temperature Units – Definition

• Celsius: Celsius, often noted as °C, is a way to measure temperature. It's like using a ruler, but instead of measuring how long something is, it measures how hot or cold something is. In the Celsius scale, water freezes at 0 degrees and boils at 100 degrees. It's named after Anders Celsius, a scientist.

• Fahrenheit: Fahrenheit, shown as °F, is another method to measure temperature. Think of it as another kind of ruler for checking how warm or chilly something is. On the Fahrenheit scale, water freezes at 32 degrees and boils at 212 degrees. This scale is named after Daniel Gabriel Fahrenheit, who invented it.

These scales are just two different ways of describing the same thing – temperature. Today, we will focus on how to convert between these two units of temperature.

Converting temperature units means changing a temperature reading from Fahrenheit to Celsius, or vice versa.**

To convert temperatures, we use specific formulas. Fahrenheit and Celsius are different scales with different starting points, so the conversion involves a bit of arithmetic.

## Temperature Units – Conversion Rules

Converting between Fahrenheit and Celsius is easy if you follow the steps:

• Fahrenheit to Celsius: Subtract 32 from the Fahrenheit temperature, multiply by 5, and then divide by 9.

• Celsius to Fahrenheit: Multiply the Celsius temperature by 9, divide by 5, and then add 32.

Converting… Formula
Fahrenheit to Celsius $(°C = \frac{(°F - 32) \times 5}{9} )$
Celsius to Fahrenheit $(°F = \frac{°C \times 9}{5} + 32 )$

## Convert Temperature Units – Detailed Examples

Let's practice converting temperatures with two examples. Pay attention to each step!

First, let's convert 68°F to Celsius.

1. Understand the Formula: Use $(°C = \frac{(°F - 32) \times 5}{9} )$.
2. Set Up the Operation: Subtract 32 from 68, then multiply by 5, and divide by 9.
3. Calculate: Perform the calculation: $( \frac{(68 - 32) \times 5}{9} = 20 )$.
4. Conclusion: So, 68°F is equal to 20°C.

Now let's convert 20°C to Fahrenheit.

1. Understand the Formula: Use $(°F = \frac{°C \times 9}{5} + 32 )$.
2. Set Up the Operation: Multiply 20 by 9, divide by 5, and then add 32.
3. Calculate: Perform the calculation: $( \frac{20 \times 9}{5} + 32 = 68 )$.
4. Conclusion: Therefore, 20°C equals 68°F.

## Convert Temperature Units – Guided Practice

Let's solve two problems together.

What is 32°F in Celsius?

What formula do we use to convert Fahrenheit to Celsius?
What calculation do we need to solve?

What is 100°C in Fahrenheit?

What formula do we use to convert Celsius to Fahrenheit?
What calculation do we need to solve?

## Convert Temperature Units – Exercises

Now, try converting temperatures on your own!

## Convert Temperature Units – Summary

Key Learnings from this Text:

• Converting between Fahrenheit and Celsius involves using simple formulas.

• Fahrenheit to Celsius formula: $(°C = \frac{(°F - 32) \times 5}{9} )$

• Celsius to Fahrenheit formula: $(°F = \frac{°C \times 9}{5} + 32 )$.

Explore more on our platform with interactive practice problems, engaging videos, and printable worksheets. If you need extra support, check out our other lessons on measurement conversions.

## Convert Temperature Units – Frequently Asked Questions

Why are there different temperature scales?
Is Celsius or Fahrenheit more accurate?
Can you convert temperatures to Kelvin?
Why is -40°F the same as -40°C?
When might I need to convert temperatures?
Is it easy to memorize these formulas?
Are these conversions important in everyday life?
Do professionals use these conversions?
How can I practice these conversions more?

## Temperature Conversion exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the learning text Temperature Conversion.
• ### Celsius or Fahrenheit?

Hints

The equivalent temperature value on the Fahrenheit scale is higher than the Celsius scale. For example $68^\circ$ Fahrenheit $= 20^\circ$ Celsius.

As the same temperature is a lower number in Celsius, we could assume freezing point for Celsius is $0^\circ$ and use the formula given to convert this freezing point to Fahrenheit. For this, substitute $0^\circ$ to work out the freezing point.

Solution

• Fahrenheit scale boiling point $= 212^\circ$F
• Fahrenheit scale freezing point $= 32^\circ$F
• Celsius scale boiling point $= 100^\circ$C
• Celsius scale freezing point $= 0^\circ$C
The temperature is a lower number in Celsius, so we can use the conversion formula to work out freezing point on the Fahrenheit scale.

• ### Convert Fahrenheit to Celsius.

Hints

Substitute $77$ into the formula.

$^\circ$C $= (77 - 32)\times\frac{5}{9}$

Using

$^\circ$C $= (77 - 32)\times\frac{5}{9} = 45\times\frac{5}{9}$

Multiply $45$ by $5$ and divide by $9$ to get the answer in Celsius.

Solution

Answer $= 25^\circ$C

Substitute $77$ into the formula.

• $^\circ$C $= (77 - 32)\times\frac{5}{9}$
• $^\circ$C $= (77 - 32)\times\frac{5}{9}$
• $^\circ$C $= 45\times\frac{5}{9}$
• $^\circ$C $= 45\times5\div9$
• $^\circ$C $= 25$
• ### A hot day at the beach.

Hints

Use this formula to convert Fahrenheit to Celsius.

Substitute $113$ in there for F.

Using F $= 113$

$^\circ$C $= \frac{5}{9} (113 - 32)$

Continue to calculate C from here.

Solution

Answer is $45^\circ$C

• $^\circ$C $= \frac{5}{9} (113 - 32)$
• $^\circ$C $= \frac{5}{9}\times 81$
• $^\circ$C $= 45$
• ### Oven temperature conversion.

Hints

Use this formula to convert Celsius to Fahrenheit.

Substitute $235$ for C.

Using C $= 235$

$^\circ$F $= (\frac{9}{5}\times235) + 32$

Continue to calculate F from here.

Solution

Answer is $455^\circ$F

• $^\circ$F $= (\frac{9}{5}\times 235) + 32$
• $^\circ$F $= 423 + 32$
• $^\circ$F $= 455$
• ### Convert Celsius to Fahrenheit.

Hints

Substitute $15$ into the formula.

$^\circ$F $= (\frac{9}{5}\times15) + 32$

Using

$^\circ$F $= (\frac{9}{5}\times15) + 32$

Multiply $15$ by $9$ and divide by $5$ here. We can then add the answer to $32$.

Solution

Answer $= 59^\circ$F

Substitute $15$ into the formula.

• $^\circ$F $= (\frac{9}{5}\times15) + 32$
• $^\circ$F $= (15\times9\div5) + 32$
• $^\circ$F $= 27 + 32$
• $^\circ$F $= 59$
• ### The temperature in Iceland during winter.

Hints

Use this formula to convert Fahrenheit to Celsius.

Substitute $-22$ in there for F.

Using F $= -22$

$^\circ$C $= \frac{5}{9} (-22 - 32)$

Continue to calculate C from here, but be careful with the negatives!

Solution

Answer is $-30^\circ$C

• $^\circ$C $= \frac{5}{9} (-22 - 32)$
• $^\circ$C $= \frac{5}{9}\times(-54)$
• $^\circ$C $= -30$ (As $54$ is negative, the answer is negative when multiplied by a positive fraction)
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