Question

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

Answer 1

3/5 or

0.6

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.

Answer 2

Hey there!

`\bold{x-(2)/(5)=(1)/(5)}`

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

Good luck on your assignment and enjoy your day!

~
`\bold{LoveYourselfFirst:)}`