Question

A red gumball is 2/3 of an inch across. A green gumball is 5/6 of an inch across. A blue gumball is 7/9 of an inch across. List the gumball widths in order from largest to smallest.

Answer 1

The green gumball is the largest at 5/6 of an inch, followed by the blue gumball at 7/9 of an inch, and the red gumball is the smallest at 2/3 of an inch. To determine this order, we converted each fraction to have the same denominator of 18.

Step-by-step explanation:

To list the gumball widths in order from largest to smallest, we first need to compare the sizes given in fractions of an inch. The red gumball measures 2/3 of an inch, the green gumball 5/6 of an inch, and the blue gumball 7/9 of an inch. To easily compare these, we need a common denominator. The smallest common denominator for 3, 6, and 9 is 18. Converting each fraction to have a denominator of 18 gives us:

• Red gumball: 2/3 = 12/18
• Green gumball: 5/6 = 15/18
• Blue gumball: 7/9 = 14/18

Now we can clearly see that the green gumball is the largest at 15/18 of an inch, followed by the blue gumball at 14/18 of an inch, and finally, the red gumball at 12/18 of an inch. Therefore, the gumballs in order from largest to smallest are:

1. Green gumball (5/6 of an inch)
2. Blue gumball (7/9 of an inch)
3. Red gumball (2/3 of an inch)