Subtract 9 7/10−6 1/4 . What is the difference?

Answer 1

To subtract 9 7/10 − 6 1/4, we need to find a common denominator for the fractions. The denominators are 10 and 4, so the common denominator is 20.

We can convert 9 7/10 to an improper fraction:
9 7/10 = (9 × 10 + 7)/10 = 97/10

We can convert 6 1/4 to an improper fraction:
6 1/4 = (6 × 4 + 1)/4 = 25/4

Now, we subtract the fractions:
97/10 − 25/4

To find the difference, the fractions need to have the same denominator. Since the common denominator is 20, we need to multiply the numerator and denominator of 97/10 by 2, and the numerator and denominator of 25/4 by 5:
(97 × 2)/(10 × 2) − (25 × 5)/(4 × 5)
194/20 − 125/20 = (194 − 125)/20 = 69/20

Therefore, the difference is 69/20.