Question

Put these numbers in order from least to greatest.

1 1/8, 0.7, and 1.4

Answer 1

`0.7, (11)/(8),1.4`

Explanation:

In order to understand what numbers are greater and what numbers are smaller, we need to make them have the same common denominator. So firstly, we turn all of these numbers into fractions, and we get...

`0.7 = (7)/(10)\\\\1.4 = (14)/(10)\\\\(11)/(8 )= (11)/(8 )`

Now we, need to find the least possible number divisible by 10 and 8, to find the least common denominator. And we get, that the least common denominator is 40, and knowing this, now we have to take each fraction and turn it into an equivalent fraction with the denominator of 40. So we do...

`(11)/(8)= ((11)(5))/((8)(5))= (55)/(40)\\\\(7)/(10) = ((7)(4))/((10)(4)) = (28)/(40) \\\\(14)/(10) = ((14)(4))/((10)(4)) = (56)/(40)`

Now we can put these fractions in order from least to greatest...

`(28)/(40) < (55)/(40)<(56)/(40)`

Therefore, we know that...

`0.7 < (11)/(8) < 1.4`

Answer 2

1.4, 1 1/8, 0.7

Explanation:

1 1/8 is equal to 1.125 which it makes it less than 1.4 but more than 0.7.