Question

Используя признаки делимости,сократите дробь: 1) 351/252 Сделайте решение подробно.

Answer 1

Сокращение дроби значит разделить и числитель, и знаменатель разделить на одно, и то же число. В нашем случае 351/252 можно разделить на 3
Получаем 117|84

Answer 2

Simplifying the Fraction Using Divisibility Rules

To simplify the fraction 351/252 using divisibility rules, we can look for common factors between the numerator and the denominator and then divide both by the greatest common factor.

1. Find the Greatest Common Divisor (GCD) - The GCD of 351 and 252 can be found using various methods, such as prime factorization, but for this case, we'll use the divisibility rules to identify common factors.

2. Apply Divisibility Rules - We'll start by checking for divisibility by 2, 3, 5, and 7, which are common divisibility rules.

3. Simplify the Fraction - After identifying the common factors, we'll divide both the numerator and the denominator by the greatest common factor to simplify the fraction.

Applying Divisibility Rules

Let's start by checking the divisibility of 351 and 252 by different numbers.

1. Divisibility by 2 - 351 is not divisible by 2 because it's an odd number. - 252 is divisible by 2 because the last digit is even.

2. Divisibility by 3 - The sum of the digits of 351 is 3 + 5 + 1 = 9, which is divisible by 3. - The sum of the digits of 252 is 2 + 5 + 2 = 9, which is also divisible by 3.

3. Divisibility by 7 - Checking for divisibility by 7, we find that 351 is not divisible by 7. - 252 is not divisible by 7.

Simplifying the Fraction

Since both 351 and 252 are divisible by 3, we can divide both by 3 to simplify the fraction.

Therefore, the simplified fraction is: 351/252 = 117/84

By applying the divisibility rules and simplifying the fraction, we have reduced 351/252 to 117/84.