RASTA
23:11 Uhr, 23.07.2022
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tag! I need help in understanding a step in solving an equation. 1/11.25 * t + 1/7.5 * t =1
0.0888 * t + 0.1333 * t =1
What is not clear to me is how we got the decimals. what operation had to be performed so I could get 0.0888 and 0.1333
I put the equation in a math solver and it gives this as the first step of the solution but I am lost about how the decimals were gotten.
Vielen Dank im Voraus,
Für alle, die mir helfen möchten (automatisch von OnlineMathe generiert): "Ich möchte die Lösung in Zusammenarbeit mit anderen erstellen." |
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pivot
04:08 Uhr, 24.07.2022
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Hi,
it seems that the solution is somehow generated by a computer system, which is not always an efficient way for a human. Nevertheless I show you how I would transform , for instance.
. I've used 4 at the denominator since
Then I know by heart that . Thus
greetings, pivot
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alternative:
The main denominator is
That is even easier to calculate, in my mind the easiest way of doing it.
PS: You should not turn fractions into decimal figures until the end of the calculation, particularily not if the figures have to be rounded! As Pivot said : Use fractions instead to avoid rounding problems which affect the best possible result.
As you can see: There are several roads leading to Rome as so often in mathematical affairs.
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To make a long story short: If you use a calculator, and input the calculator will reasonably output
"What operation...?" It's a division.
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RASTA
15:50 Uhr, 24.07.2022
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thank you so much @ supporter, pivot and 8neule. Very interesting all that. I was particularly thrown by the 2 and 4 and how to get to those.
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RASTA
15:50 Uhr, 24.07.2022
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thank you so much @ supporter, pivot and 8neule. Very interesting all that. I was particularly thrown by the 2 and 4 and how to get to those.
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RASTA
15:50 Uhr, 24.07.2022
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thank you so much @ supporter, pivot and 8neule. Very interesting all that. I was particularly thrown by the 2 and 4 and how to get to those.
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RASTA
16:04 Uhr, 24.07.2022
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I have already done it the way supporter showed. I had done it like this. But what I was in doubt was how to get the decimals and the 2 and 4 which you all explained so clearly.
1/11.25 x t + 1/7.5 x t =1 t/11.25 + t/7.5 =1 t/11.25 + t/7.5 =1 7.5t + 11.25t / 11.25 x 7.5 =1 7.5t + 11.25t / 11.25 x 7.5 =1 18.75t / 84.40 =1 18.75t / 84.40=1 84.40(18.75t)/(84.40)=84.40 x 1 84.40(18.75t)/(84.40)=84.40 x 1 18.75t =84.40 18.75t =84.40 18.75t/18.75 = 84.40/ 18.75 18.75t/18.75 =84.40 / 18.75 cancelling, t= 4.5
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Which which 2 do you mean?
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RASTA
17:40 Uhr, 24.07.2022
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the teacher gave this other way but it more complex. I am attaching pic. that is why I ask how the 4 an d the 2 were gotten. But you explained it when you developed your example
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RASTA
17:44 Uhr, 24.07.2022
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I got it once you wrote that the decimal part .025 = 1/4. Right then and there I tumbled into it. and then the 2 because it was 7.5 so the decimal part was .5 which half of.. = 2. That is how the 4 and the 2 came into the equation
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