What fraction lies between 2/3 and 6/7 on the number line?
a. 3/5
b. 4/8
c. 3/7
d. 5/6

  D.  5/6

Step-by-step explanation:

The given fractions have decimal values of ...

  2/3 ≈ 0.67

  6/7 ≈ 0.86

The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.

The last choice (5/6) is between 2/3 and 6/7.

Using a common denominator of 42, these three fractions are ...

  2/3 = 28/42

  5/6 = 35/42

  6/7 = 36/42

The fraction 5/6 lies between 2/3 and 6/7.

It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. There are some patterns involved that make it easier.

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.