The Python snake climbed 10 feet up a 12 foot tree and the boa constrictor snake climbed 16 feet up an 18 foot tree. Write the fraction of the tree each snake climbed. Simplify the fractions and compare the distances.
my answer: 10/12 = 5/6 for python
16/18 = 8/9 boa
thats correct.
The python snake climbed 10 feet up a 12 foot tree and the boa constrictor snake climbed 16 feet up an 18 foot tree. Write the fraction of the tree each snake climbed. Simplify the fraction and compare the distances
To find the fraction of the tree that each snake climbed, we need to divide the distance climbed by the total height of the tree.
For the Python snake, the distance climbed is 10 feet, and the total height of the tree is 12 feet. So we can write the fraction as 10/12.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.
So 10/12 simplifies to 5/6.
For the Boa Constrictor snake, the distance climbed is 16 feet, and the total height of the tree is 18 feet. So we can write the fraction as 16/18.
Again, to simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.
So 16/18 simplifies to 8/9.
Now, let's compare the distances climbed by the two snakes. The Python climbed 5/6 of the tree, while the Boa Constrictor climbed 8/9 of the tree.
To compare the fractions, we need to find a common denominator for the two fractions. The least common multiple of 6 and 9 is 18.
Converting the fractions to have a denominator of 18, we get:
(5/6) * (3/3) = 15/18 for the Python, and
(8/9) * (2/2) = 16/18 for the Boa Constrictor.
Now we can see that the Boa Constrictor climbed slightly more of the tree compared to the Python.