Final answer:
To convert a decimal to a fraction, write the decimal as the numerator of a fraction and use the number of decimal places to determine the denominator. Simplify the fraction if possible by dividing the numerator and denominator by their greatest common factor.
Step-by-step explanation:
To convert a decimal to a fraction, follow these steps:
- Write the decimal as the numerator of a fraction.
- The denominator of the fraction is determined by the number of decimal places. For example, if there is one decimal place, the denominator is 10. If there are two decimal places, the denominator is 100, and so on.
- Simplify the fraction, if possible, by dividing both the numerator and denominator by their greatest common factor.
For example, to convert the decimal 0.75 to a fraction:
Step 1: Write 0.75 as the numerator of a fraction: 0.75/1.
Step 2: Since there are two decimal places, the denominator is 100: 0.75/100.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 25 in this case: 0.75/100 = 3/4.
Therefore, 0.75 can be written as the fraction 3/4.