Q:

put the following in ascending order​

Accepted Solution

A:
Answer:see explanationStep-by-step explanation:To be able to compare the fractions we require them to have a common denominator.The lowest common denominator of15, 5, 3, 2, 10, 3 is 30Multiply the numerator/denominator of each fraction by the required value which makes the denominator 30.denominator 15, multiply by 2denominator 5, multiply by 6denominator 3, multiply by 10denominator 2, multiply by 15denominator 10, multiply by 3-------------------------------------------------------[tex]\frac{7}{15}[/tex] = [tex]\frac{7(2)}{15(2)}[/tex] = [tex]\frac{14}{30}[/tex][tex]\frac{2}{5}[/tex] = [tex]\frac{2(6)}{5(6)}[/tex] = [tex]\frac{12}{30}[/tex][tex]\frac{1}{3}[/tex] = [tex]\frac{1(10)}{3(10)}[/tex] = [tex]\frac{10}{30}[/tex][tex]\frac{1}{2}[/tex] = [tex]\frac{1(15)}{2(15)}[/tex] = [tex]\frac{15}{30}[/tex][tex]\frac{9}{10}[/tex] = [tex]\frac{9(3)}{10(3)}[/tex] = [tex]\frac{27}{30}[/tex][tex]\frac{2}{3}[/tex] = [tex]\frac{2(10)}{3(10)}[/tex] = [tex]\frac{20}{30}[/tex]----------------------------------------------------------------Placing these in ascending order ( smallest to largest )[tex]\frac{10}{30}[/tex], [tex]\frac{12}{30}[/tex], [tex]\frac{14}{30}[/tex], [tex]\frac{15}{30}[/tex], [tex]\frac{20}{30}[/tex], [tex]\frac{27}{30}[/tex]----------------------------------------------------------------------Listing the actual fractions corresponding to the equivalent fractions[tex]\frac{1}{3}[/tex], [tex]\frac{2}{5}[/tex], [tex]\frac{7}{15}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{2}{3}[/tex], [tex]\frac{9}{10}[/tex]