To solve the problem [tex]\( 5 \div 2 \)[/tex], follow these steps:
1. Set up the division:
- We need to divide the numerator (5) by the denominator (2).
2. Perform the division:
- Step 1: How many times does 2 go into 5?
- 2 goes into 5 a total of 2 full times (since [tex]\( 2 \times 2 = 4 \)[/tex]) and there will be a remainder.
- Step 2: Calculate the remainder.
- Subtract [tex]\( 4 \)[/tex] (the product of 2 and the quotient from step 1) from 5: [tex]\( 5 - 4 = 1 \)[/tex].
- Step 3: Write the division as [tex]\( 2 \)[/tex] with a remainder of [tex]\( 1 \)[/tex].
- This can be expressed as 2 R1 where 'R' stands for remainder.
3. Convert the remainder into a decimal form:
- Divide the remainder (1) by the divisor (2): [tex]\( \frac{1}{2} = 0.5 \)[/tex].
4. Combine the quotient and the decimal remainder:
- Add the quotient from step 2 (2) to the decimal (.5) to get the final answer: [tex]\( 2 + 0.5 = 2.5 \)[/tex].
Therefore, [tex]\( 5 \div 2 = 2.5 \)[/tex].
