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What fraction of a dollar is a dime?

Understand the Problem

The question is asking what part or fraction of a dollar is represented by a dime, which is worth 10 cents. We need to determine this by expressing 10 cents as a fraction of 100 cents (which is a dollar).

Answer

$\frac{1}{10}$
Answer for screen readers

The part of a dollar represented by a dime is $\frac{1}{10}$.

Steps to Solve

  1. Identifying the values We know that one dollar is equivalent to 100 cents. A dime is worth 10 cents.

  2. Setting up the fraction We can express the value of a dime as a fraction of a dollar using the values identified above.

    So, we can represent this as: $$ \text{Fraction of a dollar} = \frac{\text{Value of the dime}}{\text{Value of a dollar}} = \frac{10 \text{ cents}}{100 \text{ cents}} $$

  3. Simplifying the fraction Next, we simplify the fraction: $$ \frac{10}{100} = \frac{1}{10} $$

  4. Interpreting the result This means that a dime represents $\frac{1}{10}$ of a dollar.

The part of a dollar represented by a dime is $\frac{1}{10}$.

More Information

A dime is one of the coins in the United States currency system, and it is worth 10% of a dollar. It’s interesting to note that there are 10 dimes in a dollar.

Tips

One common mistake is to forget to simplify the fraction, so make sure to simplify whenever possible.

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