Question

Solve for x. itle="\frac{3.5x}{9} =\frac{4.2}5{}" alt="\frac{3.5x}{9} =\frac{4.2}5{}" align="absmiddle" class="latex-formula">

Answer 1

hi there!

$= \tt \color{red}x = \frac{126}{65} \\ \\in \: \: alternate \: \: form \\ \tt \color{red} x = 1 \frac{61}{65} \: \: and \: \: x = 1.9384615$

Step-by-step explanation:

$\tt \color{grey} \frac{3.9x}{9} = \frac{4.2}{5}$

• convert the decimal into fraction

$\tt \color{grey} \frac{39}{ \frac{10}{9} } x = \frac{4.2}{5}$

• divide the numbers

$\tt \color{grey} \frac{39}{ \frac{10}{9} } x = 0.84$

• calculate the product

$\tt \color{grey} \frac{39x}{ \frac{10}{9} } = 0.84$

$\bold \color{wheat} \tiny \: simplify \: \: the \: \: complex \: \: fraction \: \: \frac{13x}{30 = 0.84} \: multiplying \: \: both \: \: sides of \: \: the \: \: equation \: by \: \frac{30}{13}$

$\tt \color{grey}x = \frac{30}{13 } \times 0.84$

• convert a decimal into fraction

$\tt \color{grey}x = \frac{30}{13} \times \frac{21}{25}$

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

$\tt \color{grey}x = \frac{6}{13} \times \frac{21}{5}$

• multiplying the fractions

$\tt \color{red}x = \frac{126}{65} \\ \\ \small \tt\color{green}in \: \: alternate \: \: form \\ \\ \tt \color{aqua}x = 1 \frac{61}{65} \: and \: \: x = 1.9384615$

hope it helps

Answer 2

Answer:

x = 2.16

Step-by-step explanation:

Question :

$\frac{3.5x}{9} =\frac{4.2}{5}$

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. :-)