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# A Fraction Becomes 1/3 When 1 Is Subtracted

## An Introduction to the Concept

Fractions are numbers that are expressed as a ratio of two integers. They represent a portion of a whole. For example, the fraction 1/2 is half of a full amount and 3/4 is three-quarters of a full amount. When a fraction is changed, it can result in a different amount. This is also true of subtracting one from a fraction.

## How Subtracting One Affects a Fraction

When one is subtracted from a fraction, the resulting fraction is always one-third of the original fraction. For example, if the fraction 1/2 is subtracted by one, the result is 1/3. The same is true for any fraction; when one is subtracted, the resulting fraction is always one-third of the original fraction.

## Subtracting One From a Fractional Number

Subtracting one from a fractional number is also possible, though it may take a bit more effort. This is because fractional numbers are expressed as a fraction of one. To subtract one from a fractional number, you must first convert the fractional number to an improper fraction. An improper fraction is a fraction where the numerator (top number) is greater than the denominator (bottom number). For example, if the fractional number is 3/4, it must first be converted to an improper fraction, which would be 9/4. Once it is in an improper fraction, one can then be subtracted, resulting in the fraction 8/4, or 2/1.

## Conclusion

Subtracting one from a fraction always results in a fraction that is one-third of the original fraction. This is because when one is subtracted from a fraction, the numerator (top number) is always reduced by one, while the denominator (bottom number) remains the same. This results in a fraction that is one-third of the original fraction. Subtracting one from a fractional number is also possible, though it requires converting the fractional number to an improper fraction first.