Question

To convert a decimal to a common fraction, multiply the decimal by a whole number equal to the desired denominator of the fraction. Point off as many decimal places as were in the decimal. If the decimal part of the answer is 0.5 or more, add one to the whole number. Place over the desired denominator.Example:Change 0.125 to eighths 0.125 - 8 = 1.000 = 1/8Convert the following and match with the correct answer shown below:

I. 1/16
II. 11/32
III. 17/32
IV. 23/32
V. 5/16
VI. 7/16
VII. 3/8
VIII. 7/8

Answer 1

Decimal to fraction conversion involves using the place value as the denominator and simplifying the fraction, while percentages are fractions with a denominator of 100. Here, we converted each fraction to its decimal equivalent by dividing the numerator by the denominator.

Step-by-step explanation:

The process of converting decimal to fraction involves expressing the decimal number as a fraction with a numerator and a denominator that is a power of 10, and then simplifying if necessary. To achieve this, determine the place value of the last digit in the decimal (tenths, hundredths, thousandths, etc.), use that as the denominator, and the numeral itself as the numerator, simplifying the fraction thereafter. To relate it to percent conversion, remember that a percent is simply a fraction with a denominator of 100. Let's now solve for the decimal equivalents of the given fractions, to match to potentially stated decimal values.

1. 1/16 - To convert this to a decimal, divide 1 by 16, resulting in 0.0625.
2. 11/32 - Dividing 11 by 32 gives us the decimal 0.34375.
3. 17/32 - Similarly, dividing 17 by 32 gives 0.53125.
4. 23/32 - Dividing 23 by 32 results in the decimal 0.71875.
5. 5/16 - Dividing 5 by 16 equals 0.3125.
6. 7/16 - Dividing 7 by 16 gives us 0.4375.
7. 3/8 - Dividing 3 by 8 equals 0.375.
8. 7/8 - Finally, dividing 7 by 8 results in the decimal 0.875.