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 870 teaspoons into cups we have to multiply 870 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

870 tsp → V_(cup)

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

V_(cup) = 870 tsp × 0.020833333333319 cup

V_(cup) = 18.124999999988 cup

The final result is:

870 tsp → 18.124999999988 cup

We conclude that 870 teaspoons is equivalent to 18.124999999988 cups:

870 teaspoons = 18.124999999988 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.055172413793141 × 870 teaspoons.

Another way is saying that 870 teaspoons is equal to 1 ÷ 0.055172413793141 cups.

Approximate result

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

870 tsp ≅ 18.125 cup

An alternative is also that one cup is approximately zero point zero five five times eight hundred seventy 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