Question

Solve for x.


`(3.5x)/(9) =\frac{4.2}5{}`

Answer 1

hi there!

`= \tt \color{red}x = (126)/(65) \\ \\in \: \: alternate \: \: form \\ \tt \color{red} x = 1 (61)/(65) \: \: and \: \: x = 1.9384615`

Explanation:

`\tt \color{grey} (3.9x)/(9) = (4.2)/(5)`

• convert the decimal into fraction

`\tt \color{grey} (39)/( (10)/(9) ) x = (4.2)/(5)`

• divide the numbers

`\tt \color{grey} (39)/( (10)/(9) ) x = 0.84`

• calculate the product

`\tt \color{grey} (39x)/( (10)/(9) ) = 0.84`

`\bold \color{wheat} \tiny \: simplify \: \: the \: \: complex \: \: fraction \: \: (13x)/(30 = 0.84) \: multiplying \: \: both \: \: sides of \: \: the \: \: equation \: by \: (30)/(13)`

`\tt \color{grey}x = (30)/(13 ) * 0.84`

• convert a decimal into fraction

`\tt \color{grey}x = (30)/(13) * (21)/(25)`

• reduce the number 30 and 25 with the greatest common factor of 5

`\tt \color{grey}x = (6)/(13) * (21)/(5)`

• multiplying the fractions

`\tt \color{red}x = (126)/(65) \\ \\ \small \tt\color{green}in \: \: alternate \: \: form \\ \\ \tt \color{aqua}x = 1 (61)/(65) \: and \: \: x = 1.9384615`

hope it helps

Answer 2

x = 2.16

Explanation:

Question :

`(3.5x)/(9) =(4.2)/(5)`

Use cross multiplication.

3.5x × 5 = 9 × 4.2

17.5x = 37.8

Divide both sides by 17.5.

x = 2.16

Let me know if you have any other questions. :-)