# Math - Units of Measurement

how many 1/3cups are in 1/4 cup

compute the answer by dividing 1/4 cup by 1/3 cup

notice that the unit "cup" cancels, so that you are left with a number which does not have a unit associated with it

### Comments for Math - Units of Measurement

 Apr 07, 2011 Math - Units of Measurement by: Staff The question: how many1/3cup are in 1/4 cupThe answer:How many1/3 cups are in a 1/4 cup measurement?Before I compute the answer, here is a similar example you are already familiar with:How many groups of 2 are in the number 10?10 ÷ 2 = 5There are 5 groups of 2 in the number 101st group: 1, 22nd group: 3, 43rd group: 5, 64th group: 7, 85th group: 9, 10We can apply this same reasoning to your problem:How many 1/3 cups are in 1/4 of a cup?= ¼ cup ÷ ⅓ cup = ¼ ÷ ⅓ Reverse the numerator and denominator on the second fraction, and then multiply the two fractions:= ¼ * 3/1 Multiply the numerators of the two fractions together, and multiply the denominators of the two fractions together.= (1*3)/(4*1) = (3)/(4) = ¾ The final answer: there is ¾ of a ⅓ measuring cup in a ¼ measuring cup.Skeptical? Not sure whether this answer is correct?Here is a way to check the answer: Multiply ⅓ cup by ¾. It should come out ¼ cup, exactly.= (⅓ cup) * ¾ Multiply the numerators of the two fractions together, and multiply the denominators of the two fractions together.= (1*3)/(3*4)= (3)/(12)= 3/12Reducing this fraction to its lowest terms:= ¼ cupThanks for writing.Staff www.solving-math-problems.com