5/4+4m/5 =61/20
multiply each side by 20 to clear the fractions
20 *( 5/4+4m/5 ) = 61/20 * 20
distribute
25 + 16m = 61
subtract 25 from each side
16m = 36
m = 36/16
m = 9/4
m = 2 1/4
Check:
5/4+4m/5 =61/20
5/4 + 4/5 * 9/4 = 61/20
5/4 + 36/20 = 61/20
get a common denominator
25/20 +36/20 = 61/20
61/20=61/20