Frankie and gus swam for 10 minutes. when the time was up, frankie had completed 10 7/10 laps and gus had completed 10 4/5 laps. frankie wrote the inequality 10 7/10> 10 4/5 to show who swam the longest distance. was he correct? explain your answer by describing where the numbers would be positioned on a number line.

The equation wrote by Frankie is incorrect.

Step-by-step explanation:

Given : Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed laps and Gus had completed laps. Frankie wrote the inequality to show who swam the longest distance.

To find : Was he correct?

Solution :

To compare first we make the denominator same,

Frankie had completed laps

Gus had completed laps.

Multiply and divide Gus equation by 2,

On comparing,

i.e. \frac{107}{10}" class="latex-formula" id="TexFormula8" src="https://tex.z-dn.net/?f=%5Cfrac%7B54%7D%7B5%7D%3E%5Cfrac%7B107%7D%7B10%7D" title="\frac{54}{5}>\frac{107}{10}">

So,

The equation wrote by Frankie is incorrect.

No he is incorrect. Frankie had not factored the 4/5th.

Step-by-step explanation:

All you have to do is make the denominators the same by multiplying  4/5 by 2. once you do that you should get 8/10.

so the answer would be 10 7/10< 10 8/10