16 divided by 4/5
Understand the Problem
The question is asking for the result of dividing 16 by the fraction 4/5. This involves understanding how to divide by a fraction, which can be done by multiplying by its reciprocal.
Answer
$20$
Answer for screen readers
The answer is $20$.
Steps to Solve
-
Identify the operation We need to divide 16 by the fraction $\frac{4}{5}$.
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Write the division as multiplication To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{4}{5}$ is $\frac{5}{4}$. Therefore, we can rewrite the problem as:
$$ 16 \div \frac{4}{5} = 16 \times \frac{5}{4} $$
- Multiply the whole number by the fraction Now, we'll multiply 16 by $\frac{5}{4}$.
$$ 16 \times \frac{5}{4} = \frac{16 \times 5}{4} $$
- Calculate the numerator Now, calculate the numerator:
$$ 16 \times 5 = 80 $$
Thus, we have:
$$ \frac{80}{4} $$
- Divide the numerator by the denominator Finally, we divide 80 by 4:
$$ \frac{80}{4} = 20 $$
The answer is $20$.
More Information
Dividing by a fraction is a fundamental concept in arithmetic. By multiplying by the reciprocal, you can convert the division into a simpler multiplication operation.
Tips
- Forgetting to take the reciprocal of the fraction before multiplying can lead to errors.
- Confusing the direction of the operation, i.e., incorrectly performing subtraction or addition instead of multiplication.
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