Samantha uses 1/2 of a tablespoon of sugar for 1/8 of a batch of pudding. How many tablespoons will she use for the entire batch of pudding?

well, 1/2 = 4/8, so ...

1-2 1-8

To find out how many tablespoons Samantha will use for the entire batch of pudding, we can use the concept of proportions.

1/8 of a batch of pudding requires 1/2 tablespoon of sugar.

So, we need to determine how many 1/8 are in the whole batch.

Since there are 8 parts in a whole, there will be 8 times the amount of 1/8 in the whole batch.

Now, we can set up the proportion:

1/8 batch = 1/2 tablespoon
x (whole batch) = ?

The proportion can be written as:

1/8 batch / 1/2 tablespoon = x (whole batch) / 1 tablespoon

To simplify the proportion, we invert and multiply:

(1/8)/(1/2) = (x)/(1)

To solve for x, we can perform the calculation:

(1/8) ÷ (1/2) = x ÷ 1

Multiplying the numerator and the denominator of the left side:

(1/8) × (2/1) = x
2/8 = x
1/4 = x

Therefore, Samantha will use 1/4 tablespoon or 0.25 tablespoons of sugar for the entire batch of pudding.