3 divided by 1/4
Understand the Problem
The question is asking to perform the operation of dividing 3 by 1/4. This requires understanding the concept of division by a fraction, which is equivalent to multiplying by its reciprocal.
Answer
$12$
Answer for screen readers
The final answer is ( 12 ).
Steps to Solve
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Identify the operation The problem is to divide ( 3 ) by ( \frac{1}{4} ).
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Convert division by a fraction to multiplication Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of ( \frac{1}{4} ) is ( 4 ).
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Set up the multiplication Now set up the multiplication: $$ 3 \div \frac{1}{4} \quad \text{is equivalent to} \quad 3 \times 4 $$
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Perform the multiplication Now, multiply: $$ 3 \times 4 = 12 $$
The final answer is ( 12 ).
More Information
When you divide a number by a fraction, you essentially ask how many times the fraction fits into that number, which leads to multiplying by the reciprocal. This principle is commonly used in various math problems involving fractions.
Tips
One common mistake is to forget the rule of changing division by a fraction to multiplication by its reciprocal. Always remember to flip the fraction!
