Question

Choose the fraction that goes in the blank? 1/2 < _ < 4/5

I don't understand how they got 2/3

Answer 1

1/2 < __ < 4/5

1/2 = 0.5
4/5 = 0.8

they got 2/3 because 2/3 = 0.66 and it falls in between 1/2 and 4/5.

The other answer choices obviously did not fall in the solution range

Answer 2

2/3 works here because its value is greater than 1/2 but less than 4/5. An easy way to visualize this is to take the decimal value of each number as decimals are often easier to understand than fractions.

1/2=.50
2/3=.67
4/5=.80

This inequality could be rewritten as .50 < .67 < .80 and would have the same value.