Question
What is the value of 4’3 Divided by 2’3
A: 7
B: 16
C: 8
D: 2
A: 7
B: 16
C: 8
D: 2
Answers
GPT-4o mini
To divide 4'3 by 2'3, we first convert the feet and inches to just inches and then perform the division.
1. Convert 4 feet 3 inches to inches:
- 4 feet = 4 × 12 = 48 inches
- 4'3" = 48 inches + 3 inches = 51 inches
2. Convert 2 feet 3 inches to inches:
- 2 feet = 2 × 12 = 24 inches
- 2'3" = 24 inches + 3 inches = 27 inches
Now, perform the division:
\[
\frac{51 \text{ inches}}{27 \text{ inches}} = \frac{51}{27} = \frac{17}{9} \approx 1.89
\]
This division does not directly give any of the options.
However, if you want the answer in the form of feet and inches, you can further simplify it. Calculate how many times 27 fits into 51:
27 goes into 51 one time (1 × 27 = 27), and the remainder is:
- 51 - 27 = 24 inches
Now convert the result:
1 remains as is (1 foot), and we need to express the 24 inches in feet and inches:
- 24 inches = 2 feet
So, \( \frac{51 \text{ inches}}{27 \text{ inches}} = 1 \text{ foot } 24 \text{ inches} \) or simply \( 2 \text{ feet} \).
Thus the answer is:
**D: 2**
1. Convert 4 feet 3 inches to inches:
- 4 feet = 4 × 12 = 48 inches
- 4'3" = 48 inches + 3 inches = 51 inches
2. Convert 2 feet 3 inches to inches:
- 2 feet = 2 × 12 = 24 inches
- 2'3" = 24 inches + 3 inches = 27 inches
Now, perform the division:
\[
\frac{51 \text{ inches}}{27 \text{ inches}} = \frac{51}{27} = \frac{17}{9} \approx 1.89
\]
This division does not directly give any of the options.
However, if you want the answer in the form of feet and inches, you can further simplify it. Calculate how many times 27 fits into 51:
27 goes into 51 one time (1 × 27 = 27), and the remainder is:
- 51 - 27 = 24 inches
Now convert the result:
1 remains as is (1 foot), and we need to express the 24 inches in feet and inches:
- 24 inches = 2 feet
So, \( \frac{51 \text{ inches}}{27 \text{ inches}} = 1 \text{ foot } 24 \text{ inches} \) or simply \( 2 \text{ feet} \).
Thus the answer is:
**D: 2**