Question

найдите НОД числителя и знаменателя каждой из дробей и сократите дроби на НОД : 36\48 ; 35\105 ; 63\81 ; 84\154 ; 625\1000.срочно нада

Answer 1

36/48=3/4 сократили на 12 значит НОД 12 35/105=1/3 сократили на 35 НОД 35,63/81 7/9сократили на 9 НОД 9 84/154 сократили на 14 6/11 НОД 14 625/1000 сократили на 125 =5/8 НОД 125

Answer 2

Finding the GCD and Simplifying Fractions

To find the greatest common divisor (GCD) of the numerator and denominator of each fraction, we can use the Euclidean algorithm. Once we have the GCD, we can simplify the fractions by dividing both the numerator and denominator by the GCD.

Let's calculate the GCD and simplify each fraction:

1. 36/48: - The GCD of 36 and 48 is 12 [[1]]. - Dividing both the numerator and denominator by 12, we get 3/4.

2. 35/105: - The GCD of 35 and 105 is 35 [[2]]. - Dividing both the numerator and denominator by 35, we get 1/3.

3. 63/81: - The GCD of 63 and 81 is 9 [[3]]. - Dividing both the numerator and denominator by 9, we get 7/9.

4. 84/154: - The GCD of 84 and 154 is 14 [[4]]. - Dividing both the numerator and denominator by 14, we get 6/11.

5. 625/1000: - The GCD of 625 and 1000 is 125 [[5]]. - Dividing both the numerator and denominator by 125, we get 5/8.

Therefore, the simplified fractions are: - 36/48 = 3/4 - 35/105 = 1/3 - 63/81 = 7/9 - 84/154 = 6/11 - 625/1000 = 5/8

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