Basic Math Examples

$78 f$

This is the conversion formula for Fahrenheit to Celsius, where $T_{F}$ is temperature in Fahrenheit and $T_{C}$ is temperature in Celsius.

$T_{C} = \frac{5}{9} \cdot (T_{F} - 32)$

Substitute the Fahrenheit temperature into the formula.

$T_{F} = \frac{5}{9} \cdot (78 - 32)$

Subtract $32$ from $78$ .

$T_{c} = \frac{5}{9} \cdot 46$

Simplify $\frac{5}{9} \cdot 46$ .

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Write $46$ as a fraction with denominator $1$ .

$T_{c} = \frac{5}{9} \cdot \frac{46}{1}$

Multiply $\frac{5}{9}$ and $\frac{46}{1}$ .

$T_{c} = \frac{5 \cdot 46}{9}$

Multiply $5$ by $46$ .

$T_{c} = \frac{230}{9}$

Convert the fraction to a decimal by dividing the numerator by the denominator.

$T_{c} = 25.\overline{5}$

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