How many groups of 1/4 are in 7
The Correct Answer and Explanation is:
7÷41=7×4=28
Correct Answer: 28
Explanation
Dividing by a fraction might seem tricky at first, but it becomes clearer when you understand what the operation means. When you are asked, “How many groups of 14\frac{1}{4}41 are in 7?” you are being asked how many times the fraction 14\frac{1}{4}41 fits into the whole number 7. This is the same as asking: how many quarters are in 7 wholes?
To solve this, you use the rule of dividing by a fraction, which is to multiply by its reciprocal. The reciprocal of 14\frac{1}{4}41 is 4, because flipping the numerator and the denominator gives 41=4\frac{4}{1} = 414=4.
So, you compute:7÷14=7×4=287 \div \frac{1}{4} = 7 \times 4 = 287÷41=7×4=28
This means there are 28 groups of 14\frac{1}{4}41 in 7.
Let’s look at this conceptually. If you had 7 whole pies and you cut each pie into 4 equal parts (quarters), each pie would give you 4 pieces. So 7 pies would yield:7×4=28 quarters7 \times 4 = 28 \text{ quarters}7×4=28 quarters
Thus, 28 one-quarter portions can be made from 7 whole units.
This principle is very useful in real life, such as when dividing resources, recipes, or portions. Understanding how division by fractions works is important in math, especially in measurement, ratios, and proportions.
So, the final answer is 28, and that tells us there are 28 groups of 14\frac{1}{4}41 in the number 7.
