Find the quotient of 1/4 divided by 2/3.
Understand the Problem
The question is asking to find the quotient of two fractions, specifically \frac{1}{4} \: \ rac{2}{3}. This involves dividing \frac{1}{4} by \frac{2}{3}, which can be solved by multiplying \frac{1}{4} with the reciprocal of \frac{2}{3}.
Answer
The quotient is \( \frac{3}{8} \).
Answer for screen readers
The quotient of ( \frac{1}{4} \div \frac{2}{3} ) is ( \frac{3}{8} ).
Steps to Solve
- Identify the original fractions
The problem involves the fractions ( \frac{1}{4} ) and ( \frac{2}{3} ).
- Find the reciprocal of the second fraction
The reciprocal of ( \frac{2}{3} ) is ( \frac{3}{2} ).
- Multiply the first fraction by the reciprocal
Now, we can multiply ( \frac{1}{4} ) by ( \frac{3}{2} ):
$$ \frac{1}{4} \times \frac{3}{2} = \frac{1 \times 3}{4 \times 2} = \frac{3}{8} $$
The quotient of ( \frac{1}{4} \div \frac{2}{3} ) is ( \frac{3}{8} ).
More Information
Dividing fractions can be simplified by multiplying by the reciprocal of the second fraction. This is a fundamental aspect of fraction arithmetic.
Tips
- Not using the reciprocal: A common mistake is forgetting to take the reciprocal of the second fraction before multiplying.
- Incorrect multiplication: Difficulties in multiplying the numerators and denominators accurately can also lead to incorrect answers.
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