To subtract 6 1/4 from 9 7/10, we need to convert both mixed numbers to improper fractions and then perform the subtraction.
9 7/10 can be converted to an improper fraction as follows:
9 * 10 = 90 (denominator of the fraction)
90 + 7 = 97 (numerator of the fraction)
So, 9 7/10 can be written as 97/10.
Similarly, 6 1/4 can be converted to an improper fraction:
6 * 4 = 24 (denominator of the fraction)
24 + 1 = 25 (numerator of the fraction)
So, 6 1/4 can be written as 25/4.
Now, we can subtract the fractions:
97/10 - 25/4
To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 20 because both 10 and 4 divide evenly into 20.
Convert both fractions to have the common denominator of 20:
(97/10) * (2/2) = 194/20
(25/4) * (5/5) = 125/20
Now, subtract the fractions:
194/20 - 125/20 = (194 - 125)/20 = 69/20
Therefore, 9 7/10 minus 6 1/4 is equal to 69/20 or it can be simplified to 3 9/20.