What fraction of a dollar is a nickel?
Understand the Problem
The question is asking to identify the fraction that represents the value of a nickel in relation to a dollar. A nickel is worth 5 cents, and a dollar is worth 100 cents, so we are looking for the fraction 5/100, which can be simplified to 1/20.
Answer
The fraction is $\frac{1}{20}$.
Answer for screen readers
The fraction that represents the value of a nickel in relation to a dollar is $\frac{1}{20}$.
Steps to Solve
- Identify the values involved
The value of a nickel is $5$ cents and the value of a dollar is $100$ cents.
- Write the fraction
We can express the value of a nickel in relation to a dollar as a fraction:
$$\text{Fraction} = \frac{5 \text{ cents}}{100 \text{ cents}}$$
- Simplify the fraction
To simplify the fraction $\frac{5}{100}$, we can divide both the numerator and the denominator by their greatest common divisor, which is $5$:
$$\frac{5 \div 5}{100 \div 5} = \frac{1}{20}$$
- Express the simplified value
The simplified fraction for the value of a nickel in relation to a dollar is:
$$\frac{1}{20}$$
The fraction that represents the value of a nickel in relation to a dollar is $\frac{1}{20}$.
More Information
A nickel is one of the U.S. coins, and when compared to a dollar, it shows how much smaller it is in value. The fraction $\frac{1}{20}$ indicates that you would need twenty nickels to equal one dollar.
Tips
- One common mistake is forgetting to simplify the fraction properly. Always check for the greatest common divisor to simplify fractions effectively.
