High School

What is the total length of all the bulbs that are [tex]7 \frac{2}{3}[/tex] inches?

A. 21 inches
B. [tex]21 \frac{2}{3}[/tex] inches
C. [tex]22 \frac{1}{3}[/tex] inches
D. 23 inches

Answer :

Let's solve the problem step by step.

1. The length of one bulb is given as a mixed number:
[tex]$$7 \frac{2}{3} \text{ inches}.$$[/tex]

2. First, convert the mixed number to an improper fraction. To do this, multiply the whole number by the denominator and then add the numerator:
[tex]$$7 \frac{2}{3} = \frac{7 \times 3 + 2}{3} = \frac{21 + 2}{3} = \frac{23}{3} \text{ inches}.$$[/tex]

3. Assuming there are 3 bulbs, the total length is calculated by multiplying the length of one bulb by the number of bulbs:
[tex]$$\text{Total length} = \frac{23}{3} \times 3 = 23 \text{ inches}.$$[/tex]

Therefore, the total length of all the bulbs is:
[tex]$$\boxed{23 \text{ inches}}.$$[/tex]