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2 1/8x+3/4x+1/6-7/12x+5 2/3

Sagot :

ameliaswan

Answer:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{8x}+ \frac{3}{4x} + \frac{1}{6} - \frac{7}{12x} + 5\frac{2}{3}[/tex]

find a common denominator for the x values: GCD = 24

so multiply each fraction with an x to get the common denominator

[tex]2 [(\frac{3}{3} )(\frac{1}{8x})] + [(\frac{6}{6})(\frac{3}{4x})] + \frac{1}{6} - [(\frac{2}{2})(\frac{7}{12x})] + 5\frac{2}{3}[/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{2}{3}[/tex]

then, find the GCD for the fractions without x: GCD = 3

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5[(\frac{2}{2})( \frac{2}{3})][/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{4}{6}[/tex]

finally, combine like terms:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

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