Question

Convert each decimal to a tion.

1. 0.9 =
2. 0.63 =
3. 0.05 =
4. 0.95 =
5. 0.04 =

Answer 1

To convert decimals to fractions, the decimal number is used as the numerator and the place value as the denominator (e.g., 0.9 is 9/10), then, if possible, simplify the fraction.

Step-by-step explanation:

To convert each decimal to a fraction, we need to consider the place value of the last digit in the decimal. After that, we write the decimal number as the numerator and the corresponding place value as the denominator, and then simplify the fraction if necessary.

1. 0.9 has one decimal place. So, it is equivalent to 9/10, which cannot be simplified further.
2. 0.63 has two decimal places. So, we write it as 63/100, which can be simplified to 63/100 (already in simplest form).
3. 0.05 has two decimal places. We write it as 5/100, which simplifies to 1/20 after dividing both the numerator and the denominator by 5.
4. 0.95 has two decimal places. So, it is 95/100, which simplifies to 19/20 after dividing both sides by 5.
5. 0.04 has two decimal places, making it 4/100. This simplifies to 1/25 after dividing both the numerator and the denominator by 4.

When the denominator is a power of ten, it can often be simplified by dividing both numerator and denominator by their greatest common divisor.