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  • 22-08-2018
  • Mathematics
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How many fourths are there in 5/3 ?

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LammettHash
LammettHash LammettHash
  • 22-08-2018

The statement "there are [tex]x[/tex] fourths in 5/3" is the same as the equation

[tex]x\cdot\dfrac14=\dfrac53[/tex]

We can find the number of fourths in 5/3 by dividing both sides of the equation by 1/4:

[tex]\dfrac{x\cdot\frac14}{\frac14}=\dfrac{\frac53}{\frac14}\implies x=\dfrac53\cdot\dfrac41[/tex]

[tex]\implies x=\dfrac{20}3[/tex]

So there are 20/3, or about 6.67, fourths in 5/3.

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