Answer:
Option B. 5/6, 7/9, 3/5.
Step-by-step explanation:
Given fractions are 5/6, 7/9, 3/5 and we have to arrange these fractions in ascending order.
First we take two fractions 5/6 and 7/9.
When we subtract them
[tex]\frac{5}{6}-\frac{7}{9}=\frac{45-42}{54}=\frac{3}{54}[/tex]
we get the positive value of subtraction that means 5/6 > 7/9----(1)
Now by comparing 7/9 and 3/5.
[tex]\frac{7}{9}-\frac{3}{5}=\frac{35-27}{45}=\frac{8}{45}[/tex]
Positive value means 7/9 > 3/5-----(2)
Now we take 5/6 and 3/5.
[tex]\frac{5}{6}-\frac{3}{5}=\frac{25-18}{30}=\frac{7}{30}[/tex]
Again positive value means 5/6 > 3/5-----(3)
From 1, and 3 we get that 5/6 is the greatest number and from (2)- 7/9 > 3/5.
Therefore 5/6 > 7/9 > 3/5
Option B is the correct option.
