Decimals to Fractions

Fast guide of the conversion:

Decimals and fractions both represent numbers, but they are used differently. Let's figure out how to convert between them.

Step-by-step tutorial:

1. Begin with a Decimal. Every decimal can be converted to a fraction. Start with your decimal number.
2. Express as a Basic Fraction. Write your decimal as a fraction over 1. Decimal = $\frac{\mathrm{Decimal}}{\mathrm{1}}$
3. Gauge Decimal's Depth. Count the number of digits after the decimal point.
4. Formulate the Factor. The factor is 10 raised to the number of decimal places. Factor = 10^{number of digits}
5. Modify the Fraction. Multiply both the numerator and the denominator of the fraction by this factor to get a fraction without decimals. $\frac{\mathrm{Decimal\; \times \; Factor}}{\mathrm{1\; \times \; Factor}}$
6. Simplification. Simplify the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor.

Conclusion:

This method provides a clear way to convert decimals to fractions. By following these steps, you can easily transform any decimal into its fractional form.