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 345.7 teaspoons into cups we have to multiply 345.7 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

345.7 tsp → V_(cup)

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

V_(cup) = 345.7 tsp × 0.020833333333319 cup

V_(cup) = 7.2020833333285 cup

The final result is:

345.7 tsp → 7.2020833333285 cup

We conclude that 345.7 teaspoons is equivalent to 7.2020833333285 cups:

345.7 teaspoons = 7.2020833333285 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.13884871275682 × 345.7 teaspoons.

Another way is saying that 345.7 teaspoons is equal to 1 ÷ 0.13884871275682 cups.

Approximate result

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

345.7 tsp ≅ 7.202 cup

An alternative is also that one cup is approximately zero point one three nine times three hundred forty-five point seven 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