1. The problem is to subtract two decimal numbers: $0.75 - 0.38$. 2. The subtraction formula is straightforward: $a - b = c$, where $a = 0.75$ and $b = 0.38$. 3. Align the decimal points and subtract digit by digit: $$ 0.75 - 0.38 ---- $$ 4. Subtract the hundredths place: $5 - 8$ is not possible without borrowing, so borrow 1 from the tenths place. 5. After borrowing, the tenths place becomes $6$ and the hundredths place becomes $15$. 6. Now subtract hundredths: $15 - 8 = 7$. 7. Subtract tenths: $6 - 3 = 3$. 8. The units place is $0 - 0 = 0$. 9. So, the result is $0.37$. 10. Therefore, $0.75 - 0.38 = 0.37$.