I need to write the specified ratin as a simplified fraction.
A certai lake is 1100 ft deep. A nearby lake is 300 feet deep. Write the ratio of te fist lake's depth to the second lake's depth.
1100/300
11 to 3
right 1100/300 = 11 to 3 simplified
To write the specified ratio as a simplified fraction, we need to find the greatest common divisor (GCD) between the depths of the two lakes.
First, let's determine the GCD of 1100 and 300.
Step 1: List the factors of each number:
Factors of 1100: 1, 2, 4, 5, 10, 20, 25, 50, 55, 100, 110, 220, 275, 550, 1100
Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Step 2: Find the common factors:
Common factors are 1, 2, 4, 5, 10, 20, and 100.
Step 3: Determine the greatest common divisor (GCD):
The GCD between 1100 and 300 is 100, as it is the largest common factor.
Now that we have found the GCD, we can simplify the ratio by dividing both numbers by the GCD.
The simplified ratio of the first lake's depth to the second lake's depth is 1100/300.
To further simplify this fraction, if possible, we can divide both the numerator and denominator by their common factors.
1100 ÷ 100 = 11
300 ÷ 100 = 3
The simplified fraction is 11/3.
Therefore, the ratio of the first lake's depth to the second lake's depth is 11/3.