A record has been playing 1/3 hour the record still has 1/12  hour to play.  What is is the total length of time the record will play, in hours?Also express in minutes and how you got both?

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pohnpei397's profile pic

pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted on

The record will play for a total of 5/12 of an hour, which can also be expressed as 25 minutes.  Here's how to go about figuring that out.

When you have to add fractions with different denominators, you have to convert them so they have the same denominator.  In this case, you can convert 1/3 to have 12 as its denominator.  You do this by multiplying it by 4.  When you do that, you get 4/12.

Since the record has played 4/12 hours and has 1/12 left to go, it will play for 5/12 total.

To convert this into minutes, you must know that one hour = 60 minutes.  So then you must figure out how many minutes make up 1/12 of an hour.  Divide 60/12, that gives you 5.

So 1/12 hour = 5 minutes.  Therefore 5/12 hours = 25 minutes.

dunnde's profile pic

dunnde | Middle School Teacher | (Level 1) Adjunct Educator

Posted on

First, Bean123, convert each of the times into minutes. With 60 minutes in an hour, 1/3 of an hour is 20 minutes and 1/12 of an hour is 5 minutes. So, the record is 25 minutes long.

Now, you can use what you just did to convert that back to a fraction. If 5 minutes is 1/12, then 25 minutes is 5 * 1/12 or 5/12.

You could also just write the part/whole fraction: 25 minues/60 minutes, which can be reduced (dividing by 5) to get 5/12.

ANSWER: The record is 5/12 hour long (25 minutes).

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

The full duration of the play of the record

= time lready played +time remained to play

=1/3 hour+1/12 hour .Take the LCM of the denominators and convert each fraction into equivalent fractions:

= 4/12+1/12

=5/12 hours

=(5/12)60 minutes, as 1hour =60 minutes.

=25 minutes.

krishna-agrawala's profile pic

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

Given:

Time the record has been playing = t1 = 1/12 hours

Time the record still has to play = t2 = 1/3 hours

Then:

Total playing time of record  = T is given by the formula:

T = t1 + t2

Substituting given values of t1 and t2 in the above formula we get:

T = 1/3 + 1/12

= (1*4 * 1)/12 = 5/12 hours

We can convert the time of 5/12 hours in time in minutes by multiplying it by 60.

Therefor:

Total playing time of record in minutes = (5/12)*60 = 25 minutes.

Answer:

The total time the record will play = 5/12 hour, or 25 minutes

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`1/3`  hour the record still has `1/12`

`1/3xx4= 4/12 `

`4/12 + 1/12 = 5/12 `

`60 -: 12 = 5 xx5 = 25 `

the record is 25 minutes long

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