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 338.8 teaspoons into cups we have to multiply 338.8 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

338.8 tsp → V_(cup)

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

V_(cup) = 338.8 tsp × 0.020833333333319 cup

V_(cup) = 7.0583333333286 cup

The final result is:

338.8 tsp → 7.0583333333286 cup

We conclude that 338.8 teaspoons is equivalent to 7.0583333333286 cups:

338.8 teaspoons = 7.0583333333286 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.14167650531296 × 338.8 teaspoons.

Another way is saying that 338.8 teaspoons is equal to 1 ÷ 0.14167650531296 cups.

Approximate result

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

338.8 tsp ≅ 7.058 cup

An alternative is also that one cup is approximately zero point one four two times three hundred thirty-eight point eight 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