Question

How do I solve1 2/5x = 7

Answer 1

`x = 5`

Explanation:

We have the equation
`1(2)/(5) x = 7` and we want to solve for x. The first thing we want to do with equations with fractions is multiply the whole equation by the LCM of the denominator (if there is more than 2 denominators) but we only have one denominator so we multiply the whole equation by 5 to get rid of the fraction and make solving the equation easier

→
`1(2)/(5) x = 7`

⇒ Convert
`1(2)/(5)` into improper

→
`(7)/(5) x=7`

⇒ Multiply the whole equation by 5 to get rid of the fraction

→
`7x = 35`

⇒ Divide both sides by 7 to isolate and find the value of x

→
`x = 5`

Answer 2

x=5

Explanation:

Convert 1 2/5 to a improper fraction so you will get 7/5.

So the equation becomes (7/5)x=7

Then multiply both sides by the inverse of 7/5 which is 5/7.

The equation becomes x=7(5/7)

So we have x=5.