High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Barbara is converting [tex]$78^{\circ} F$[/tex] to degrees Celsius. First, she subtracts 32 from 78. What is the next step?

A. Multiply 46 by [tex]$\frac{5}{9}$[/tex]
B. Multiply 46 by [tex]$\frac{9}{5}$[/tex]
C. Add 273 to 46
D. Subtract 273 from 46

Answer :

To convert a temperature from Fahrenheit to Celsius, you use the formula

[tex]$$
C = \frac{5}{9} (F - 32).
$$[/tex]

For a temperature of [tex]$78^\circ F$[/tex], the conversion is done in two steps:

1. Subtract 32 from the Fahrenheit temperature:

[tex]$$
78 - 32 = 46.
$$[/tex]

2. Multiply the result by [tex]$\frac{5}{9}$[/tex]:

[tex]$$
46 \times \frac{5}{9} \approx 25.56.
$$[/tex]

The final step is to multiply [tex]$46$[/tex] by [tex]$\frac{5}{9}$[/tex], which gives the temperature in degrees Celsius approximately equal to [tex]$25.56^\circ C$[/tex].