The depth of a river changes by - 7/10 foot on Friday, 7/8 foot on Saturday, and -11/15 foot on Sunday. On which day does the river depth decrease the most?
we need a 5,a 3 and a 2 (forget the middle one, it went UP)
try LCD of 30
-21/30 and -22/30
Sunday wins
To determine which day the river depth decreases the most, we need to compare the absolute values of the changes in depth on each day.
Let's calculate the absolute value of the change in depth for each day:
Change in depth on Friday: |- 7/10| = 7/10 foot
Change in depth on Saturday: |7/8| = 7/8 foot
Change in depth on Sunday: |-11/15| = 11/15 foot
Comparing the absolute values, we can see that the change in depth on Sunday, which is 11/15 foot, is the largest.
Therefore, the river depth decreases the most on Sunday.
To determine which day the river depth decreases the most, we need to compare the magnitudes of the depth changes on each day.
Given:
Depth change on Friday = -7/10 foot
Depth change on Saturday = 7/8 foot
Depth change on Sunday = -11/15 foot
To compare the magnitudes, we need to convert each depth change to a common denominator. The least common multiple (LCM) of 10, 8, and 15 is 120. Therefore, we'll convert all the fractional values to have a denominator of 120.
Depth change on Friday = (-7/10) * (12/12) = -84/120 foot
Depth change on Saturday = (7/8) * (15/15) = 105/120 foot
Depth change on Sunday = (-11/15) * (8/8) = -88/120 foot
Now, we can see that the magnitudes of the depth changes are:
Magnitude of depth change on Friday = |-84/120| = 84/120 foot
Magnitude of depth change on Saturday = |105/120| = 105/120 foot
Magnitude of depth change on Sunday = |-88/120| = 88/120 foot
Comparing the magnitudes, we see that the depth change is greatest on Saturday (105/120 foot). Therefore, the river depth decreases the most on Saturday.