Question

Convert 7 hours 7 minutes and 7 second in decimal of a day

Answer 1

The decimal of7 hours 7 minutes and 7 second in decimal of a day is "0.2967".

Step-by-step explanation:

We have,

7 hours 7 minutes and 7 second

= 7 × 3600 seconds + 7 × 60 seconds +  7 second

∵  1 Minute = 60 seconds, 1 Hour = 60 Minutes

∴ 1 Hour = 60 × 60 seconds = 3600 seconds

∴ 7 hours 7 minutes and 7 second = (25200 + 420 + 7) Seconds

= 25627 Seconds

We know that,

1 Day = 24 Hours = 24 × 3600 Seconds = 86400 Seconds

∴ The ratio of  7 hours 7 minutes and 7 second in decimal of a day

= $\dfrac{25627}{86400}$

= 0.2967

Hence, the decimal of7 hours 7 minutes and 7 second in decimal of a day is "0.2967".

Answer 2

7 hours 7 minutes 7 seconds = 0.29664102 day

Step-by-step explanation:

Let us convert each of 7 hours, 7 minutes and 7 seconds into day first. Then we will add the values.

7 hours ➝ day

∴ 7 hours

= $\dfrac{7}{24}$ day

• since 1 day = 24 hours

= 0.2917 day ( approximately )

7 minutes ➝ day

∴ 7 minutes

= $\dfrac{7}{60}$ hour

• since 1 hour = 60 minutes

= $\dfrac{7}{60\times 24}$ day

• since 1 day = 24 hours

= 0.00486 day ( approximately )

7 seconds ➝ day

∴ 7 seconds

= $\dfrac{7}{60}$ minute

• since 1 minute = 60 seconds

= $\dfrac{7}{60\times 60}$ hour

• since 1 hour = 60 minutes

= $\dfrac{7}{60\times 60\times 24}$ day

• since 1 day = 24 hours

= 0.00008102 day ( approximately )

7 hours 7 minutes 7 seconds ➝ day

∴ 7 hours 7 minutes 7 seconds

= 7 hours + 7 minutes + 7 seconds

= 0.2917 + 0.00486 + 0.00008102 day

= 0.29664102 day ( approximately )