2/3 divided by 1/8
Understand the Problem
The question is asking us to perform a division operation with two fractions, specifically to divide two-thirds by one-eighth. To solve this, we will multiply the first fraction by the reciprocal of the second fraction.
Answer
\( \frac{16}{3} \)
Answer for screen readers
The final answer is ( \frac{16}{3} )
Steps to Solve
- Identify the reciprocal of the second fraction
To divide by a fraction, multiply by its reciprocal. The reciprocal of ( \frac{1}{8} ) is ( \frac{8}{1} ).
- Set up the multiplication
Instead of dividing ( \frac{2}{3} ) by ( \frac{1}{8} ), multiply ( \frac{2}{3} ) by ( \frac{8}{1} ).
$$ \frac{2}{3} \times \frac{8}{1} $$
- Perform the multiplication
Multiply the numerators together and the denominators together:
$$ \frac{2 \times 8}{3 \times 1} = \frac{16}{3} $$
- Simplify if needed
Since ( \frac{16}{3} ) is already in its simplest form, no further simplification is needed.
The final answer is ( \frac{16}{3} )
More Information
Fun fact: The division of fractions is often simplified by transforming it into a multiplication problem using the reciprocal of the divisor.
Tips
A common mistake is to try and directly divide the fractions instead of multiplying by the reciprocal of the divisor. Always remember to flip the second fraction and multiply.
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