Final answer:
To combine the like terms in the equation 0.75s - ⅝s = 44, you need to subtract the fractions and then isolate s.
Step-by-step explanation:
To combine the like terms in the equation 0.75s - ⅝s = 44, you need to subtract the fractions:
0.75s - ⅝s = 44
Convert 0.75 into a fraction with a common denominator:
0.75 = 3/4
Now subtract the fractions:
3/4s - 5/8s = 44
To subtract the fractions, you need to have a common denominator:
Multiply the first fraction by 2/2 and the second fraction by 4/4, which gives:
6/8s - 5/8s = 44
Now, subtract the like terms:
1/8s = 44
To isolate s, multiply both sides of the equation by 8:
8 * (1/8s) = 44 * 8
s = 352