how many 1/3 cups are in 3/4 cups
The correct answer and explanation is:
To find how many 1/3 cups are in 3/4 cups, divide 3/4 by 1/3: 34÷13=34×31=94=214\frac{3}{4} \div \frac{1}{3} = \frac{3}{4} \times \frac{3}{1} = \frac{9}{4} = 2 \frac{1}{4}
✅ Correct Answer: 2¼ (or 2.25)
📘 300-Word Explanation:
When you’re measuring ingredients in a kitchen or solving math problems involving fractions, it’s important to understand how division of fractions works. This question asks: “How many 1/3 cups can fit into 3/4 cups?” Essentially, this is a division problem where you’re trying to find out how many groups of 1/3 are in 3/4.
To divide fractions, you multiply the first fraction by the reciprocal of the second. The reciprocal of a fraction is just the flipped version of that fraction. In this case:
- Start with: 34÷13\frac{3}{4} \div \frac{1}{3}
- Flip the second fraction (the divisor): 13⇒31\frac{1}{3} \Rightarrow \frac{3}{1}
- Now multiply: 34×31=94\frac{3}{4} \times \frac{3}{1} = \frac{9}{4}
- Convert 94\frac{9}{4} to a mixed number: 94=214\frac{9}{4} = 2 \frac{1}{4}
This means that 2 full 1/3 cups and an additional 1/4 of a 1/3 cup are needed to make 3/4 cups.
To visualize this: if you start pouring 1/3 cup measures into a 3/4 cup container, you can pour two full 1/3 cups (which totals 2/3), and you will still have room for 1/12 cup more (because 3/4 – 2/3 = 1/12). And 1/12 is 1/4 of 1/3, because: 13×14=112\frac{1}{3} \times \frac{1}{4} = \frac{1}{12}
So, 2¼ of the 1/3-cup measures are needed to make 3/4 cups.