Question

Franklin go swim 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 number would be positioned on a number line

Answer 1

We can express this numbers as comparable fractions:

We will keep 10 7/10 as it is, but express 10 4/5 as:

`10+(4)/(5)=10+(4\cdot2)/(5\cdot2)=10+(8)/(10)`

Then, we can see that 10 4/5 = 10 8/10 and that is higher than 10 7/10.

He was not correct when writing the inequality like that.

The right inequality is 10 7/10 < 10 4/5.

We can draw it in a line as:

If we divide the space between 10 and 11 in ten parts, the seventh spot corresponds to 7/10, and the eighth spot (or the fourth, if we divide the space in fifths) corresponds to 8/10=4/5.