What is 1 12/20 as a percentage
The Correct Answer and Explanation is:
To convert 1 12/20 into a percentage, follow these steps:
Step 1: Convert the mixed number to an improper fraction
1 12/20 means:
1+1220=2020+1220=32201 + \frac{12}{20} = \frac{20}{20} + \frac{12}{20} = \frac{32}{20}1+2012=2020+2012=2032
Step 2: Convert the fraction to a decimal
3220=1.6\frac{32}{20} = 1.62032=1.6
Step 3: Convert the decimal to a percentage
To convert a decimal to a percentage, multiply it by 100:
1.6×100=160%1.6 \times 100 = 160\%1.6×100=160%
Final Answer:
1 12/20 = 160%
Explanation (300 words):
Understanding how to convert a mixed number into a percentage involves a sequence of steps that start with converting the mixed number to a simpler form. A mixed number like 1 12/20 is composed of a whole number and a proper fraction. To handle this, combine both parts into a single improper fraction. In this case, the whole number 1 is equivalent to 20/20 when the denominator is the same as that of the fraction. Adding this to 12/20 gives a total of 32/20.
Next, convert the improper fraction to a decimal. This is done by dividing the numerator (32) by the denominator (20), resulting in 1.6. This decimal represents the same value as the original mixed number but in base ten form, which is necessary when converting to a percentage.
To convert the decimal to a percentage, multiply it by 100. This multiplication shifts the decimal point two places to the right. When 1.6 is multiplied by 100, the result is 160. Adding the percent symbol gives the final answer of 160%.
A percentage expresses a number as a portion of 100. In this context, the value of 1 12/20 means 1.6 times the whole, which equates to 160 percent. This is useful in various fields such as finance, education, and measurement, where interpreting quantities in terms of 100 makes comparisons easier. This method of conversion ensures accurate understanding and communication of numerical data in percentage form.
