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Wewaii [24]
3 years ago
10

How to add and subtract fractions

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0
To add or subtract fractions , their denominator ( The one beneath the numerator, the one that divides the numerator ).

If they both terms have the same denominators you just have to add or subtract their numerators and stay with your denominator:

example: 3/5 + 4/5 = 7/5
2/3 - 1/3 = 1/3

But if the terms you are adding or subtracting do NOT have the same denominator , you have to make their denominator equal by equivalency :

Example : 2/3 + 1/6
I cant add 2/3 to 1/6 because they have different denominators. But if I multiply 2/3 by 2/2 it wil be 4/6:
4/6 + 1/6 = 5/6 !!
As 2/2 = 1 , I did not change the value but I changed the numerator and denominator of 2/3 :
If I multiply the numerator of a fraction by any number , but I do the same thing to the denominator, It creates a equivalency, where I dont change the actual values of the fraction.

I hope you understood my brief explanation , and please consider marking this awnser as Branliest if you think it deserves it. Thank you ! :)
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2 years ago
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slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

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The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

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m(300) \approx 8.842\,g

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3 years ago
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