Answer:
![Part = (19)/(20)](https://img.qammunity.org/2021/formulas/mathematics/college/fg78adtxxm3i9763j91zicqa4xdb0jdcfe.png)
![Lessons = 23](https://img.qammunity.org/2021/formulas/mathematics/college/rt86iy5i2wose9ju1vscowshhyu5k9la4v.png)
Explanation:
Given:
![Dancing\ Lessons = 24](https://img.qammunity.org/2021/formulas/mathematics/college/fhpvk8icxmclb6gaztfkk3w6tuuok87j2x.png)
![April = (3)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/kod2l52m7y96c5sh2a4jeonmyc3eixzwhy.png)
![May = (1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/5x9405pbqr48tynvfdorxna5q5x3xlx41e.png)
Required:
Determine the part she took
To solve this, we simply add up the part she took in April and May.
![Part = (3)/(4) + (1)/(5)](https://img.qammunity.org/2021/formulas/mathematics/college/bf6qewa5hbbkmr9ma7ogw2atmza4j6limt.png)
Take LCM
![Part = (15 + 4)/(20)](https://img.qammunity.org/2021/formulas/mathematics/college/jdc5bdo8dkd3owp21xfdfu8na05v3wsghb.png)
![Part = (19)/(20)](https://img.qammunity.org/2021/formulas/mathematics/college/fg78adtxxm3i9763j91zicqa4xdb0jdcfe.png)
Hence, she took
of the dancing lesson.
However, to calculate the number of lesson.
We have to multiply
by the total dancing lessons.
![Lessons = (19)/(20) * 24](https://img.qammunity.org/2021/formulas/mathematics/college/epdilsq9st3fshtffac2ztbrucymr24o4t.png)
![Lessons = (19* 24)/(20)](https://img.qammunity.org/2021/formulas/mathematics/college/uzdn8qhvy17vxne1910rrf5iqs6dm3t1ul.png)
![Lessons = (456)/(20)](https://img.qammunity.org/2021/formulas/mathematics/college/hdw7kmawryvfa4oy74on2jg8ov432aqfpm.png)
![Lessons = 22.8](https://img.qammunity.org/2021/formulas/mathematics/college/ky390rdrzen7fjjhzshzfwwdt3xh50anrs.png)
---- Approximated