Decimal to Mixed Number Converter

1. Understanding the Denominator:

• The number of decimal places determines the denominator. For instance, if the number has three decimal places (0.875), the denominator will be 1000 (1 followed by three zeros).
• The process involves identifying the position of the decimal digits and associating each position with a power of ten (e.g., 0.1 for the first position, 0.01 for the second, 0.001 for the third).

2. Finding the Numerator:

• The numerator is found by multiplying the decimal part by the denominator. For example, if the decimal part is 0.875, multiplying 0.875 by 1000 gives 875, which becomes the numerator.

Note: the denominator is always a one with as many 0's as there are digits behind the decimal point.

3. Example Conversion 1:

• 0.875:
• The denominator is 1000 because the decimal has three digits (after the decimal point). The decimal part (0.875) is multiplied by 1000 to get 875. Thus, the fraction is 875/1000, which, in a usable fraction, converts to 7/8.

4. Example Conversion 2:

• 12.3685:
• The whole number part is 12, and the decimal (0.3685) has four digits. So, the denominator is 10,000 (1 followed by four zeros). By multiplying the decimal part by 10,000, you get 3,685. Thus, the fraction is 12 3685/10000 simplified to 12 737/200, which, rounded to a usable format, becomes 12 3/8.

Does It Make Sense?

1. Identifying the number of decimal places to set the denominator.
2. Multiplying the decimal part by the denominator to get the numerator.
3. Simplifying the resulting fraction when possible.

Check out: How to convert a fraction to a usable fraction!