Question

put the following in ascending order​

Answer 1

Answer:

see explanation

Step-by-step explanation:

To be able to compare the fractions we require them to have a common denominator.

The lowest common denominator of

15, 5, 3, 2, 10, 3 is 30

Multiply the numerator/denominator of each fraction by the required value which makes the denominator 30.

denominator 15, multiply by 2

denominator 5, multiply by 6

denominator 3, multiply by 10

denominator 2, multiply by 15

denominator 10, multiply by 3

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$\frac{7}{15}$ = $\frac{7(2)}{15(2)}$ = $\frac{14}{30}$

$\frac{2}{5}$ = $\frac{2(6)}{5(6)}$ = $\frac{12}{30}$

$\frac{1}{3}$ = $\frac{1(10)}{3(10)}$ = $\frac{10}{30}$

$\frac{1}{2}$ = $\frac{1(15)}{2(15)}$ = $\frac{15}{30}$

$\frac{9}{10}$ = $\frac{9(3)}{10(3)}$ = $\frac{27}{30}$

$\frac{2}{3}$ = $\frac{2(10)}{3(10)}$ = $\frac{20}{30}$

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Placing these in ascending order ( smallest to largest )

$\frac{10}{30}$, $\frac{12}{30}$, $\frac{14}{30}$, $\frac{15}{30}$, $\frac{20}{30}$, $\frac{27}{30}$

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Listing the actual fractions corresponding to the equivalent fractions

$\frac{1}{3}$, $\frac{2}{5}$, $\frac{7}{15}$, $\frac{1}{2}$, $\frac{2}{3}$, $\frac{9}{10}$

Answer 2

Answer:

1/3 , 2/5 , 7/15 , 1/2 , 2/3 , 9/10

Step-by-step explanation:

take the LCM of all the denominator

then multiply the fractions with such a number that makes the denominator the LCM

LCM of the denominators is 30

so, 7/15*2/2=14/30

same way, 2/5*6/6=12/30

1/3*10/10=10/30

1/2*15/15=15/30

9/10*3/3=27/30

2/3*10/10=20/30

now arrange them in ascending order

12/30 , 14/30 , 15/30 , 20/30 , 27/30

i.e. 1/3 , 2/5 , 7/15 , 1/2 , 2/3 , 9/10