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hammer [34]
3 years ago
8

Solve for this equation. x-2/5=1/5

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0

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.

WITCHER [35]3 years ago
7 0

Hey there!

\bold{x-\frac{2}{5}=\frac{1}{5}}

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

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:)}

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