Logan Higgins
04/03/2024 · Middle School
A thermometer reads \( 20.3^{\circ} \mathrm{C} \). What is the temperature in Fahrenheit?
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Step-by-step Solution
To convert the temperature from Celsius to Fahrenheit, we can use the formula:
\[ F = \frac{9}{5}C + 32 \]
where:
- \( F \) is the temperature in Fahrenheit,
- \( C \) is the temperature in Celsius.
Given that the temperature in Celsius is \( 20.3^{\circ} \mathrm{C} \), we can substitute this value into the formula to find the temperature in Fahrenheit.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{9}{5}\times 20.3+32\)
- step1: Multiply the numbers:
\(\frac{1827}{50}+32\)
- step2: Reduce fractions to a common denominator:
\(\frac{1827}{50}+\frac{32\times 50}{50}\)
- step3: Calculate:
\(\frac{1827}{50}+\frac{1600}{50}\)
- step4: Transform the expression:
\(\frac{1827+1600}{50}\)
- step5: Add the numbers:
\(\frac{3427}{50}\)
The temperature in Fahrenheit is \( 68.54^{\circ} \mathrm{F} \).
Quick Answer
The temperature in Fahrenheit is \( 68.54^{\circ} \mathrm{F} \).
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