Juans three math quizzes this week took him 1/3? 4/6? and1/5 hour to complete. list all the fraction from least to greatest

,   , .

Step-by-step explanation:

Given fractions , , .

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of  , , .

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction by 10 in top and bottom, we get

Multiplying first fraction by 5 in top and bottom, we get

Multiplying first fraction   by 6 in top and bottom, we get

Now, we can check

is the smallest, is greater and is the greatest.

Therefore, we can arrange fractions

Writing original fractions in place of equivalent fractions, we can write

,   and  .

Therefore, the order the amounts of paint from least to greatest is:

,   , .

she will travel a distance in the range of 3 - 11 miles