To solve [tex]\( 75 \div 8 \)[/tex]:
1. Start by recognizing that dividing 75 by 8 means determining how many times 8 fits into 75 and what the remainder is, if any.
2. Perform the division:
- 8 goes into 75 a total of 9 times because [tex]\( 8 \times 9 = 72 \)[/tex].
- Subtract [tex]\( 72 \)[/tex] from [tex]\( 75 \)[/tex] to find the remainder:
[tex]\( 75 - 72 = 3 \)[/tex].
3. Express the remainder as a fraction:
- The remainder [tex]\( 3 \)[/tex] means the division is not exact.
- Write the remainder over the divisor: [tex]\( \frac{3}{8} \)[/tex].
4. Combine the quotient and the fractional remainder:
- The quotient is [tex]\( 9 \)[/tex], and the fractional part is [tex]\( \frac{3}{8} \)[/tex].
- Thus, write [tex]\( 75 \div 8 \)[/tex] as [tex]\( 9 \frac{3}{8} \)[/tex].
5. Convert the fractional part to a decimal:
- To convert [tex]\( \frac{3}{8} \)[/tex] to a decimal, perform [tex]\( 3 \div 8 = 0.375 \)[/tex].
6. Add the decimal remainder to the quotient:
- We have the quotient [tex]\( 9 \)[/tex] and the decimal [tex]\( 0.375 \)[/tex].
- So, [tex]\( 75 \div 8 = 9.375 \)[/tex].
Thus, [tex]\( 75 \div 8 = 9.375 \)[/tex].
