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 138.4 teaspoons into cups we have to multiply 138.4 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

138.4 tsp → V_(cup)

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

V_(cup) = 138.4 tsp × 0.020833333333319 cup

V_(cup) = 2.8833333333314 cup

The final result is:

138.4 tsp → 2.8833333333314 cup

We conclude that 138.4 teaspoons is equivalent to 2.8833333333314 cups:

138.4 teaspoons = 2.8833333333314 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.34682080924879 × 138.4 teaspoons.

Another way is saying that 138.4 teaspoons is equal to 1 ÷ 0.34682080924879 cups.

Approximate result

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

138.4 tsp ≅ 2.883 cup

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