6 divided by 3/8
Understand the Problem
The question is asking to perform the mathematical operation of dividing 6 by the fraction 3/8, which involves multiplying 6 by the reciprocal of 3/8.
Answer
16
Answer for screen readers
The final answer is 16
Steps to Solve
- Identify the reciprocal of the divisor
The divisor in the problem is the fraction $ \frac{3}{8} $. The reciprocal of $ \frac{3}{8} $ is $ \frac{8}{3} $.
- Multiply the dividend by the reciprocal of the divisor
The dividend is 6. To divide 6 by $ \frac{3}{8} $, multiply 6 by the reciprocal of $ \frac{3}{8} $. This can be set up as:
$$ 6 \times \frac{8}{3} $$
- Perform the multiplication
Multiply the whole number by the fraction:
$$ 6 \times \frac{8}{3} = \frac{6 \times 8}{3} = \frac{48}{3} $$
- Simplify the fraction
Divide the numerator by the denominator:
$$ \frac{48}{3} = 16 $$
The final answer is 16
More Information
Dividing by a fraction is the same as multiplying by its reciprocal. This operation frequently appears in problems involving proportions and rates.
Tips
A common mistake is to multiply by the fraction directly instead of its reciprocal. Remember to always find the reciprocal when dividing by a fraction.
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