The percentage given (98 1/8%) is less than 100%, so it will be a fraction, not a mixed number.
To convert any percentage to a fraction, divide it by 100%. It is convenient to make 98 1/8 be an improper fraction before doing this.
98 1/8%
= ((98*8 + 1)/8)% = (197/2)% (convert the percentage to an improper fraction)
= (785/8)%/100% (divide by 100% = 1. This does not change the value. It changes the form.)
= (785/8)/100 ("cancel" the percent signs)
= 785/800 (simplify the fraction)
= (157*5)/(160*5) (factor out 5 from numerator and denominator)
= (157/160)*(5/5) (recognize 5/5 = 1. "Cancel" the common factors.)
= 157/160 This is the simplest form for this fraction.
To convert any percentage to a fraction, divide it by 100%. It is convenient to make 98 1/8 be an improper fraction before doing this.
98 1/8%
= ((98*8 + 1)/8)% = (197/2)% (convert the percentage to an improper fraction)
= (785/8)%/100% (divide by 100% = 1. This does not change the value. It changes the form.)
= (785/8)/100 ("cancel" the percent signs)
= 785/800 (simplify the fraction)
= (157*5)/(160*5) (factor out 5 from numerator and denominator)
= (157/160)*(5/5) (recognize 5/5 = 1. "Cancel" the common factors.)
= 157/160 This is the simplest form for this fraction.
