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It is possible to convert a fraction into a decimal number and the other way around. Consider the following fraction. 16/25 Divide the numerator of 16 by the denominator of 25 by using the long division to rewrite the fraction as a decimal.
The result is 0.64. This is the decimal number that corresponds to the fraction 1625.
| Fraction | 7/10 | 26/100 | 782/1000 |
|---|
In that case, the procedure of the long division of the numerator by the denominator is not the best way to go. Instead, the fraction can be rewritten directly as a decimal. First, count how many zeros each denominator has.
| Fraction | 7/1 0 | 26/1 00 | 782/1 000 |
|---|---|---|---|
| Number of Zeros | 1 | 2 | 3 |
Then, move the decimal point of the numerator to the left the number of times equal to the number of zeros in the denominator. For example, in the case of 710, there is one zero. This indicates that the decimal point of 7 will be moved one place to the left.
The rest of the fractions can be rewritten into decimal numbers in a similar manner.
| Fraction | 7/10 | 26/100 | 782/1000 |
|---|---|---|---|
| Number of Zeros | 1 | 2 | 3 |
| Decimal | 0.7 | 0.26 | 0.782 |