How do you convert a decimal to a fraction?

How do you convert a decimal to a fraction?

• A. Multiply by 100
• B. Divide by 10
• C. Write over 1
• D. Place over 10 to the power of the decimal places

Answer: (D)

To convert a decimal to a fraction, placing the decimal number over a power of ten that corresponds to the number of decimal places is the correct method. For instance, if you have the decimal 0.75, there are two decimal places, so you write it as 75 over 100 (which is \(10^2\)). This clearly establishes the relationship between the decimal and its fractional form. When you multiply by 100 or divide by 10, while they can be useful operations in particular contexts, they do not represent the systematic method for conversion from decimal to fraction. Additionally, writing the decimal over 1 doesn’t convey the correct value in terms of fractions, as it ignores the scale represented by the decimal places. The approach of placing the decimal over 10 raised to the power of the number of decimal places provides a clear and consistent way to convert any decimal into a valid fraction.

To convert a decimal to a fraction, placing the decimal number over a power of ten that corresponds to the number of decimal places is the correct method. For instance, if you have the decimal 0.75, there are two decimal places, so you write it as 75 over 100 (which is (10^2)). This clearly establishes the relationship between the decimal and its fractional form.

When you multiply by 100 or divide by 10, while they can be useful operations in particular contexts, they do not represent the systematic method for conversion from decimal to fraction. Additionally, writing the decimal over 1 doesn’t convey the correct value in terms of fractions, as it ignores the scale represented by the decimal places. The approach of placing the decimal over 10 raised to the power of the number of decimal places provides a clear and consistent way to convert any decimal into a valid fraction.