4/5 divided by 16
Understand the Problem
The question is asking us to divide the fraction 4/5 by the whole number 16. To solve this, we will convert the whole number into a fraction and then perform the division by multiplying with the reciprocal.
Answer
$\frac{1}{20}$
Answer for screen readers
The final answer is $\frac{1}{20}$.
Steps to Solve
- Convert the whole number to a fraction
To divide a fraction by a whole number, we first convert the whole number 16 into a fraction. We can express it as:
$$ \frac{16}{1} $$
- Find the reciprocal of the fraction
Next, we take the reciprocal of the fraction we just formed. The reciprocal of $\frac{16}{1}$ is:
$$ \frac{1}{16} $$
- Multiply the original fraction by the reciprocal
Now we can multiply the original fraction $\frac{4}{5}$ by the reciprocal $\frac{1}{16}$:
$$ \frac{4}{5} \times \frac{1}{16} $$
- Multiply the fractions
When multiplying fractions, multiply the numerators and the denominators:
$$ \frac{4 \times 1}{5 \times 16} = \frac{4}{80} $$
- Simplify the fraction
Now, we simplify $\frac{4}{80}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
$$ \frac{4 \div 4}{80 \div 4} = \frac{1}{20} $$
The final answer is $\frac{1}{20}$.
More Information
Dividing a fraction by a whole number is equivalent to multiplying the fraction by the reciprocal of that whole number. This method helps in simplifying calculations and understanding the relationship between fractions and whole numbers.
Tips
- Forgetting to convert the whole number to a fraction.
- Not using the reciprocal when dividing.
- Failing to simplify the final answer when possible.
