Given the mixed number:
[tex]\text{ 39 46/51}[/tex]To be able to determine its decimal equivalent, let's first transform the mixed number into an improper fraction.
We get,
[tex]39\frac{46}{51}\text{ = }\frac{46\text{ + (39 x 51)}}{51}\text{ = }\frac{46\text{ + 1,989}}{51}[/tex][tex]\text{ = }\frac{2,035}{51}[/tex]Determining the decimal equivalent, we divide 2,035 by 51.
Therefore, the decimal equivalent of 39 46/51 is 39.901.
