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7/5-6/5+3/2=17/10=1 7/10

Sagot :

Question:

Solution:

Let us denote by x the blank space in the given equation. Then, we get:

[tex]\frac{7}{5}-x+\frac{3}{2}=\frac{6}{5}[/tex]

this is equivalent to:

[tex]\frac{7}{5}+\frac{3}{2}-x=\frac{6}{5}[/tex]

this is equivalent to:

[tex]\frac{14+15}{10}-x=\frac{6}{5}[/tex]

that is:

[tex]\frac{29}{10}-x=\frac{6}{5}[/tex]

solving for x, we obtain:

[tex]\frac{29}{10}-\frac{6}{5}=x[/tex]

that is:

[tex]x=\frac{29}{10}-\frac{6}{5}=\frac{29-12}{10}=\frac{17}{10}[/tex]

so that, the blank space would be:

[tex]\frac{17}{10}[/tex]

and the complete expression would be:

[tex]\frac{7}{5}-\frac{17}{10}+\frac{3}{2}=\frac{6}{5}[/tex]

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