Conversion formula

The conversion factor from teaspoons to cups is 0.020833333333319, which means that 1 teaspoon is equal to 0.020833333333319 cups:

1 tsp = 0.020833333333319 cup

To convert 382.5 teaspoons into cups we have to multiply 382.5 by the conversion factor in order to get the volume amount from teaspoons to cups. We can also form a simple proportion to calculate the result:

1 tsp → 0.020833333333319 cup

382.5 tsp → V_(cup)

Solve the above proportion to obtain the volume V in cups:

V_(cup) = 382.5 tsp × 0.020833333333319 cup

V_(cup) = 7.9687499999946 cup

The final result is:

382.5 tsp → 7.9687499999946 cup

We conclude that 382.5 teaspoons is equivalent to 7.9687499999946 cups:

382.5 teaspoons = 7.9687499999946 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.12549019607852 × 382.5 teaspoons.

Another way is saying that 382.5 teaspoons is equal to 1 ÷ 0.12549019607852 cups.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that three hundred eighty-two point five teaspoons is approximately seven point nine six nine cups:

382.5 tsp ≅ 7.969 cup

An alternative is also that one cup is approximately zero point one two five times three hundred eighty-two point five teaspoons.

Conversion table

teaspoons to cups chart

For quick reference purposes, below is the conversion table you can use to convert from teaspoons to cups