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Given the equation:
[tex]516m\text{ + }\frac{15}{21}\text{ = 22,803}[/tex]Let's simplify the equation to find m.
[tex]516m\text{ + }\frac{15}{21}\text{ = 22,803}[/tex][tex]516m\text{ + }\frac{15}{21}-\frac{15}{21}\text{ = 22,803 - }\frac{15}{21}[/tex][tex]516m\text{ = }\frac{(\text{22,803)}(21)}{21}-\frac{15}{21}[/tex][tex]516m\text{ = }\frac{478,863\text{ - 15}}{21}[/tex][tex]516m\text{ = }\frac{478,848}{21}\text{ = }\frac{\frac{478,848}{3}}{\frac{21}{3}}\text{ = }\frac{159,616}{7}[/tex][tex]\frac{516m}{516}\text{ = }\frac{159,616}{(7)(516)}\text{ = }\frac{159,616}{3,612}[/tex][tex]\text{ m =}\frac{\frac{159,616}{172}}{\frac{3,612}{172}}=\frac{928}{21}[/tex][tex]\text{ m }=\frac{928}{21}\text{ or 44.19}[/tex]Therefore, m = 928/21 or 44.19