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 470.5 teaspoons into cups we have to multiply 470.5 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

470.5 tsp → V_(cup)

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

V_(cup) = 470.5 tsp × 0.020833333333319 cup

V_(cup) = 9.8020833333267 cup

The final result is:

470.5 tsp → 9.8020833333267 cup

We conclude that 470.5 teaspoons is equivalent to 9.8020833333267 cups:

470.5 teaspoons = 9.8020833333267 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.10201912858668 × 470.5 teaspoons.

Another way is saying that 470.5 teaspoons is equal to 1 ÷ 0.10201912858668 cups.

Approximate result

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

470.5 tsp ≅ 9.802 cup

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