[tex]\text{ Answer: There are }51 \frac{1}{5}\ laps.[/tex]
Explanation:
Since we have given that
Number of laps Nina ran is given by
[tex]12\frac{4}{5}[/tex]
Time taken by Nina to ran the lap is given by
[tex]\frac{1}{4}[/tex]
Now, we use the unitary method ,
[tex]In\ \frac{1}{4}\ hour,\text{ Nina ran }12\frac{4}{5}=\frac{64}{5}\ laps\\\\In\ 1\ hour,\text{ Nina ran }\frac{\frac{64}{5}}{\frac{1}{4}}=\frac{256}{5}\ laps[/tex]
Now, we change it into mixed fraction,
[tex]\frac{256}{5}=51\frac{1}{5}\ laps[/tex]
Hence,
[tex]\text{ there are }51 \frac{1}{5}\ laps.[/tex]
