4/5 divided by 20
Understand the Problem
The question is asking us to perform a division operation with a fraction (4/5) and a whole number (20). We will calculate the result by dividing the fraction by the whole number.
Answer
$\frac{1}{25}$
Answer for screen readers
The final answer is $\frac{1}{25}$.
Steps to Solve
- Convert the Whole Number to a Fraction
To divide a fraction by a whole number, we need to express the whole number as a fraction. The whole number 20 can be written as $\frac{20}{1}$.
- Set Up the Division of Fractions
Now we will divide the fraction $\frac{4}{5}$ by $\frac{20}{1}$. Division of fractions can be done by multiplying the first fraction by the reciprocal of the second fraction. So, the operation becomes:
$$ \frac{4}{5} \div \frac{20}{1} = \frac{4}{5} \times \frac{1}{20} $$
- Multiply the Fractions
Now we multiply the numerators and the denominators:
$$ \frac{4 \times 1}{5 \times 20} = \frac{4}{100} $$
- Simplify the Resulting Fraction
Finally, we simplify $\frac{4}{100}$. The greatest common divisor (GCD) of 4 and 100 is 4:
$$ \frac{4 \div 4}{100 \div 4} = \frac{1}{25} $$
The final answer is $\frac{1}{25}$.
More Information
Dividing fractions by whole numbers is common in math, and it is useful in various real-life applications, such as sharing portions or recipes. The result of $\frac{1}{25}$ indicates that if you divide something into 25 equal parts, one part represents the result of the operation.
Tips
- Forgetting to convert the whole number into a fraction before performing the division.
- Miscalculating the multiplication of the numerators and denominators.
- Not simplifying the result after performing the operation.
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