Verified Answer :

Make them both improper fractions.
77/10 - 19/5

Give them common denominators (multiply the second fraction by 2)
77/10 - 38/10

Subtract 
39/10 = 3 9/10

Question :
How to you solve 7 7/10- 3 4/5
Answer :
Convert to improper fractions. 
\(\frac{77}{10} - \frac{19}{5}\)

Equate the denominator :
\(\frac{77}{10}- \frac{19}{5} = \frac{77}{10} - \frac{38}{10}\)

subtract both fractions :
\(=\frac{39}{10}\)

or equal :
\(3 \frac{9}{10}\)