One half of 3/4 teaspoon is equal to 3/8 or 0.375 teaspoons. One method of finding the answer in the fraction form of 3/8 is to multiply the fraction 1/2 by 3/4.
To multiply two fractions, one multiplies the top numbers or numerators of each fraction and then one multiplies the denominators, which are the bottom numbers. If the answer is not in simplest terms, then one has to reduce it.
A second method to find the answer in the decimal form of 0.375 teaspoons is to convert the fractions 1/2 and 3/4 into decimals. To convert from a fraction to a decimal, one has to divide the numerator by the denominator. In decimal form, 1/2 is 0.5, and 3/4 is 0.75. Multiplying 0.5 and 0.75, one finds the answer as 0.375.