Question

Least to greatest 1/3 2/7 3/14 1/6

Answer 1

Answer:1/6,3/14,2/7,1/3

Explanation:

Answer 2

Step-by-step explanation: To order these fractions from least to greatest, we can convert these fractions into percents and it will be easier to see.

Let's start with the fraction 1/3. To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write 1/3 as a percent, we need to find a fraction that is equivalent to 1/3 that has a 100 in the denominator. We can do this by setting up a proportion.

`(1)/(3) = (n)/(100)`

Now we can use cross products to find the missing value.

3n = 100

÷3 ÷3

n = 33.3%

We can write 2/7 as a percent by setting up a proportion.

`(2)/(7) =(n)/(100)`

Now we can use cross products to find the missing value.

7n = 200

÷7 ÷7

n = 28.5714286%

We can write 3/14 as a percent by setting up a proportion.

`(3)/(14) = (n)/(100)`

Now we can use cross products to find the missing value.

14n = 300

÷14 ÷14

n = 21.4285714%

We can write 1/6 as a percent by setting up a proportion.

`(1)/(6) = (n)/(100)`

6n = 100

÷6 ÷6

n =16.7%

Now, we can order these percents easier than if we were dealing with fractions.

Now, we can see that 1/6 < 3/14 < 2/7 < 1/3.