Decimal Reduction and Expansion Practice Problems

If you have a fraction like $0.7000$, you can simplify it by removing all the trailing zeros. Thus, it reduces down to $0.7$. All the trailing zeros to the right of the decimal point in a number can be eliminated without changing the value of the number.

To reduce $0.5$, recognize that it's already in its simplest form as a decimal fraction.

When expressed as a fraction of 1, $0.5$ is equivalent to $\frac{1}{2}$, which means $0.5$ is simplified.

To reduce $0.75$, notice that it represents $\frac{75}{100}$.

The greatest common divisor of 75 and 100 is 25, so divide both the numerator and the denominator by 25.

This reduces the fraction to $\frac{3}{4}$, which is $0.75$ when expressed as a decimal.

To reduce the decimal fraction $0.56000$, we eliminate trailing zeros that have no significance after the decimal point. Thus, $0.56000$ becomes $0.56$.
Therefore, the reduced fraction is $0.56$.

To reduce the decimal fraction $0.8400$, we eliminate the trailing zeros. Thus, $0.8400$ becomes $0.84$. As a result, the reduced fraction is $0.84$.