Respuesta :

[tex]\rm \color{navy}x = \frac{176}{125} [/tex]

Step-by-step explanation:

[tex]\rm \color{crimson} \frac{7.5x}{11} = \frac{4.8}{5} [/tex]

  • convert the decimal into a fraction

[tex]\rm \color{crimson} \frac{15}{ \frac{2}{11} }x = \frac{4.8}{5} [/tex]

  • divide the number

[tex]\rm \color{crimson} \frac{15}{ \frac{2}{11} } x = 0.96[/tex]

  • calculate the product

[tex]\rm \color{crimson} \frac{15x}{ \frac{2}{11} } = 0.96[/tex]

  • simplify the complex fraction

[tex]\rm \color{crimson} \frac{15x}{22} = 0.96 [/tex]

  • multiply both sides of the equation by 22/15

[tex]\rm \color{crimson}x = \frac{22}{15} \: x \: 0.96[/tex]

  • convert the expression

[tex]\rm \color{crimson}x = \frac{22}{15} x \frac{24}{25} [/tex]

  • reduce the number

[tex]\rm \color{crimson}x = \frac{22}{5} \: x \: \frac{8}{25} [/tex]

  • multiply the fractions

[tex]\rm \color{salmon}x = \frac{176}{125} [/tex]

[tex]\bold \color{maroon} \tiny \: \: by : denfor[/tex]

hope it helps

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