Question

СРОЧНО!!!!! розвязать задачу крок оксани дорівнює 80 см, крок андрія 1 метр знайдіть найменшу відстань пройшовши яку Оксана і андрій зроблять по цілому числу кроків

Answer 1

Розкладемо числа 100 та 80 на прості множники: 100=2*2*5*5. 80=2*2*2*2*5. Найменше спільне кратне(100,80 )= 2*2*2*2*5*5=400.
Відповіль:4 метри.

Answer 2

Problem Analysis

We are given that Oksana's step is 80 cm and Andriy's step is 1 meter. We need to find the smallest distance that Oksana and Andriy will cover by taking a whole number of steps.

Solution

To find the smallest distance that Oksana and Andriy will cover by taking a whole number of steps, we need to find the least common multiple (LCM) of their step lengths.

The LCM of two numbers is the smallest multiple that is divisible by both numbers. In this case, we need to find the LCM of 80 cm and 1 meter.

To find the LCM, we can convert both step lengths to the same unit. Let's convert Oksana's step length to meters:

1 meter = 100 centimeters

So, Oksana's step length is 0.8 meters.

Now, we can find the LCM of 0.8 meters and 1 meter.

The LCM of two numbers can be found by multiplying the numbers and dividing by their greatest common divisor (GCD).

To find the GCD of 0.8 and 1, we can use the Euclidean algorithm.

The Euclidean algorithm states that the GCD of two numbers can be found by repeatedly subtracting the smaller number from the larger number until one of the numbers becomes zero. The remaining non-zero number is the GCD.

Let's find the GCD of 0.8 and 1:

1 - 0.8 = 0.2 0.8 - 0.2 = 0.6 0.6 - 0.2 = 0.4 0.4 - 0.2 = 0.2 0.2 - 0.2 = 0

The GCD of 0.8 and 1 is 0.2.

Now, we can find the LCM:

LCM = (0.8 * 1) / 0.2 = 4 meters

Therefore, the smallest distance that Oksana and Andriy will cover by taking a whole number of steps is 4 meters.

Answer

The smallest distance that Oksana and Andriy will cover by taking a whole number of steps is 4 meters.