Respuesta :

Answer:

Mixed number equation equals to 10=[tex]9\frac{9}{9}[/tex]

Step-by-step explanation:

Here we have to find mixed number equation that equal 10,

Let, x=10 ------------(equation 1)

Now multiplying both side of equation 1 by 10 we get,

[tex]x\times 10=10\times 10[/tex]

[tex]10x=100[/tex] ------------------(equation 2)

Now by subtracting equation 1 from equation 2 we get,

[tex]10x-x=100-10[/tex]

[tex]9x=90[/tex]

[tex]\therefore\ x=\frac{90}{9}[/tex] ------------------(equation 3)

Equation 3 can be written as,

[tex]x=9\frac{9}{9}[/tex]

Since, [tex]9\frac{9}{9} [/tex]

[tex]= \frac{(9\times 9)+9}{9}[/tex]

[tex]=\frac{81+9}{9}[/tex]

[tex]=\frac{90}{9}[/tex][/tex]

[tex]\therefore 9\frac{9}{9}=\frac{90}{9}[/tex]

Therefore mixed number equation that equals 10=[tex]9\frac{9}{9}[/tex]