Question

Сократите дробь пожалуйсто:**** 1. а) 165\465 б) 108)\196 2. Задачка. Из двух городов, расстояние между которыми 375 км, одновременно навстречу друг другу выехали легковой и грузовой автомобили. Через какое время они встретятся. если скорость легкового автомобиля 90км/ч, а скорость грузового составляет 2/3 скорости легкового автомобиля?

Answer 1

А) сократим на 15= 11/31.б) сократим на 4= 27/49

Answer 2

Simplifying Fractions:

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. Let's simplify the given fractions:

1. a) 165/465: To simplify this fraction, we need to find the GCD of 165 and 465. The GCD of 165 and 465 is 15. Dividing both the numerator and denominator by 15, we get:

165/465 = 11/31 [[1]].

1. б) 108/196: To simplify this fraction, we need to find the GCD of 108 and 196. The GCD of 108 and 196 is 4. Dividing both the numerator and denominator by 4, we get:

108/196 = 27/49 [[2]].

Problem Solving:

2. The problem states that two vehicles, a passenger car and a truck, start from two different cities and travel towards each other. The distance between the cities is 375 km. The passenger car is traveling at a speed of 90 km/h, while the truck's speed is 2/3 of the passenger car's speed.

To find the time it takes for them to meet, we can use the formula:

Time = Distance / Relative Speed

The relative speed is the sum of their speeds since they are traveling towards each other. Let's calculate the time:

Relative Speed = Speed of Passenger Car + Speed of Truck

Relative Speed = 90 km/h + (2/3 * 90 km/h) = 90 km/h + 60 km/h = 150 km/h

Time = 375 km / 150 km/h = 2.5 hours

Therefore, the passenger car and the truck will meet after 2.5 hours [[3]].

I hope this helps! Let me know if you have any further questions.