Respuesta :

Answer:

9 3/4 (simplest form)

✨Step-by-step explanation:✨

1. Convert decimal into fraction:

9.75 = 975/100

2. Simplify:

975/100 = 39/4 = 9 3/4

A. Reduce fraction to lowest terms (25 is the greatest common divisor of 975 and 100. Reduce by dividing both numerator and denominator by 25):

975/100 = 975 ÷ 25   = 39/4

                 100 ÷ 25

B. Convert improper fraction to mixed number:

39/4 = 9 3/4

(39 ÷ 4 = 9 remainder 3)