Question

cuanto es x/5 + ⅕ = ⅘

es urgente

Answer 1

Respuesta:

$x=3$

Explicación paso a paso:

$\frac{x}{5}+ \frac{1}{5}= \frac{4}{5}$

Restar  $\frac{1}{5}$  de ambos lados

$\frac{x}{5}+ \frac{1}{5}-\frac{1}{5} = \frac{4}{5} -\frac{1}{5}$

Simplificar

$\frac{x}{5}+ \frac{1}{5}-\frac{1}{5} = \frac{4}{5} -\frac{1}{5}$

Simplificar  $\frac{x}{5}+ \frac{1}{5}-\frac{1}{5} :\frac{x}{5}$

$\frac{x}{5}+ \frac{1}{5}-\frac{1}{5}$

Sumar elementos similares: $\frac{1}{5} -\frac{1}{5}=0$

$=\frac{x}{5}$

Simplificar $\frac{4}{5} -\frac{1}{5}:\frac{3}{5}$

$\frac{4}{5} -\frac{1}{5}$

Aplicar la regla $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{4-1}{5}$

Restar: $4-1=3$

$=\frac{3}{5}$

$\frac{x}{5}= \frac{3}{5}$

Multiplicar ambos lados por 5

$\frac{5x}{5}=\frac{3*5}{5}$

Simplificar

$\frac{5x}{5}=\frac{3*5}{5}$

Simplificar $\frac{5x}{5}:x$

$\frac{5x}{5}$

Dividir: $\frac{5}{5}=1$

$=x$

Simplificar  $\frac{3*5}{5}:3$

$\frac{3*5}{5}$

Multiplicar los números: $3*5=15$

$=\frac{15}{5}$

Dividir: $\frac{15}{5}=3$

$=3$

$x=3$