Final answer:
To write 167% as a mixed number, we convert it to a fraction by putting it over 100. The fraction 167/100 can be simplified to 1 67/100, which is the mixed number representation.
Step-by-step explanation:
To write 167% as a mixed number, we need to convert it to a fraction first. Percentage is a representation of a fraction with a denominator of 100. So, to convert 167% to a fraction, we can write it as 167/100.
Now, we can simplify this fraction to its simplest form. We divide both the numerator and denominator by their greatest common factor, which is 1. Therefore, 167/100 is already in simplest form.
In a mixed number, the whole number part represents the whole number part of the fraction, and the fractional part represents the remaining fraction. Since 167/100 is an improper fraction (the numerator is larger than the denominator), we can convert it to a mixed number by dividing the numerator by the denominator. The quotient becomes the whole number part, and the remainder becomes the fractional part. In this case, 167 divided by 100 is 1 remainder 67. So, 167/100 can be written as 1 67/100.
Learn more about Converting percentage to fraction