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 8400 teaspoons into cups we have to multiply 8400 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

8400 tsp → V_(cup)

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

V_(cup) = 8400 tsp × 0.020833333333319 cup

V_(cup) = 174.99999999988 cup

The final result is:

8400 tsp → 174.99999999988 cup

We conclude that 8400 teaspoons is equivalent to 174.99999999988 cups:

8400 teaspoons = 174.99999999988 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.0057142857142896 × 8400 teaspoons.

Another way is saying that 8400 teaspoons is equal to 1 ÷ 0.0057142857142896 cups.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that eight thousand four hundred teaspoons is approximately one hundred seventy-five cups:

8400 tsp ≅ 175 cup

An alternative is also that one cup is approximately zero point zero zero six times eight thousand four hundred 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