How many groups of 1/4 are in 7?
Understand the Problem
The question is asking how many times the fraction 1/4 can fit into the whole number 7, which involves basic division.
Answer
The fraction $\frac{1}{4}$ fits into 7 a total of 28 times.
Answer for screen readers
The fraction $\frac{1}{4}$ fits into 7 a total of 28 times.
Steps to Solve
- Set up the division problem
To determine how many times the fraction $\frac{1}{4}$ fits into 7, we need to divide 7 by $\frac{1}{4}$.
- Convert the division of a fraction
Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of $\frac{1}{4}$ is 4. Therefore, we can express the division as:
$$ 7 \div \frac{1}{4} = 7 \times 4 $$
- Calculate the multiplication
Now, perform the multiplication:
$$ 7 \times 4 = 28 $$
Thus, the fraction $\frac{1}{4}$ fits into 7 a total of 28 times.
The fraction $\frac{1}{4}$ fits into 7 a total of 28 times.
More Information
Dividing by a fraction can sometimes be confusing. Remember that dividing by a fraction is the same as multiplying by its reciprocal. In this case, $\frac{1}{4}$ is converted to 4 for the multiplication.
Tips
- Incorrectly adding instead of multiplying when dividing by a fraction. Always remember to multiply by the reciprocal.
- Forgetting to simplify the problem before doing the math. Always try to express the problem in an easier form first.
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