3 years ago

Why is 6/5 not equivalent to 3/2?!?!?!

Mathematics

2 answers:

DIA [1.3K]3 years ago

7 0

Answer: Both numbers 6/5 and 3/2 do not have a common denominator. Just as how 2 cannot go into 5 evenly.

Dmitry [639]3 years ago

7 0

It’s because they don’t have the same denominator. In order to get that, you have to find what’s 5 and 2 goes into. It’s 10 because 5 x 2 = 10. 30/10 is equivalent to 15/10.

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PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe

antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

$x=\dfrac{y}{3}$ ...(i)

$x+y=y^2-5$ ...(ii)

Put value of x from (i) in (ii)

$\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}$