Two nickels are what fraction of a dollar?
The correct answer and explanation is:
Two nickels are equal to 10 cents, and since a dollar is 100 cents, the fraction of a dollar represented by two nickels is: 10100=110\frac{10}{100} = \frac{1}{10}
So, two nickels are 110\frac{1}{10} of a dollar.
Explanation:
A nickel is worth 5 cents. Therefore, two nickels would be worth 5 + 5 = 10 cents. A dollar is equivalent to 100 cents, so the value of two nickels is being compared to the total value of a dollar.
The fraction is calculated by dividing the value of the two nickels by the total value of a dollar. The value of two nickels is 10 cents, and the value of one dollar is 100 cents, so the fraction is: 10100=110\frac{10}{100} = \frac{1}{10}
This tells us that two nickels represent one-tenth of the total value of a dollar. In simpler terms, two nickels are 10% of a dollar.
To further clarify, fractions represent parts of a whole. Here, the whole is the dollar (100 cents), and the part is the 10 cents that two nickels represent. The fraction 110\frac{1}{10} indicates that out of 10 equal parts of a dollar, two nickels make up one of those parts. This fraction can also be written as a decimal (0.1) or a percentage (10%).
Thus, two nickels are 110\frac{1}{10} of a dollar.