Respuesta :

jcherry99

Answer:

3/5   or

0.6

Step-by-step explanation:

You could change these fractions to decimals, but you may not be convinced that the answer you get is the same as just using fractions. I'll start by using fractions.

x - 2/5 = 1/5                        Add 2/5 to both sides

x - 2/5 + 2/5 = 1/5 + 2/5     The left side cancels to 0.

x = 1/5 + 2/5                       The denominators (bottom the fraction) are the same. Just add the tops.

x = (1 + 2)/5

x = 3/5

=======================

If you use your calculator to find 2/5 and 1/5, you can get the same answer as 3/5

2

÷

5

=

0.4

By the same method, 1/5 = 0.2

Substitute into the original equation

x - 0.4 = 0.2                       Add 0.4 to both sides

x - 0.4 +0.4 = 0.2 + 0.4    The left side reduces just to x

x = 0.2 +0.4

x = 0.6

If you let your calculator do the work, like this

3

÷

5              

=

0.6

The answers are the same.

Amphitrite1040

Hey there!

[tex]\bold{x-\frac{2}{5}=\frac{1}{5}}[/tex]

  • Simplify each sides of your equation
  • [tex]\bold{x+(\frac{-2}{5})=\frac{1}{5}}[/tex]
  • Do the opposite of [tex]\bold{subtract}[/tex] , which is [tex]\bold{addition}[/tex]..so we have to [tex]\bold{add}[/tex] by [tex]\bold{\frac{2}{5}}[/tex] on each of your sides
  • [tex]\bold{x+(\frac{-2}{5})+\frac{2}{5}=\frac{1}{5}+\frac{2}{5}}[/tex]
  • [tex]\bold{Cancel:\frac{-2}{5}+\frac{2}{5}}[/tex]
  • [tex]\bold{Keep:\frac{1}{5}+\frac{2}{5}}[/tex]
  • Solve the equation that we had to keep because it helps us solve for the "[tex]\red\bold{x-value}[/tex]"
  • [tex]\boxed{\boxed{\bold{Answer:x=\frac{3}{5}}}}[/tex] [tex]\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\bold{LoveYourselfFirst:)}[/tex]

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