doug digs a hole that is 1 7/10 feet below ground level. he plantes a bush that is 3 1/5 feet tall from the bottom of the root to the top branch
To find the total height of the bush above ground level, we need to add the depth of the hole to the height of the bush.
Depth of the hole: 1 7/10 feet
Height of the bush: 3 1/5 feet
To add these two values, we first need to convert them to a common fraction.
Depth of the hole: 1 7/10 = (10*1 + 7)/10 = 17/10
Height of the bush: 3 1/5 = (5*3 + 1)/5 = 16/5
Now, we can add these fractions to find the total height of the bush above ground level.
Total height = Depth of the hole + Height of the bush
= 17/10 + 16/5
= (17*5 + 16*10)/(10*5)
= (85 + 160)/50
= 245/50
So, the total height of the bush above ground level is 245/50 feet.
To determine the total height from ground level to the top of the bush, we need to find the sum of the depth of the hole and the height of the bush.
1. Start by converting the mixed numbers to improper fractions:
Depth of the hole = 1 7/10 = (10 * 1 + 7)/10 = 17/10
Height of the bush = 3 1/5 = (5 * 3 + 1)/5 = 16/5
2. Add the fractions together to get the total height:
Total height = Depth of the hole + Height of the bush
= 17/10 + 16/5
3. To add the fractions, we need a common denominator. The least common multiple (LCM) of 10 and 5 is 10, so we can use that:
Total height = (17/10) + (16/5)
= (17/10) + (32/10)
= (17 + 32)/10
= 49/10
The total height from ground level to the top of the bush is 49/10 feet.