Question

Помогите решить задание для 5-того класса. Сократите дроби и приведите их к наименьшему общему знаменателю: а) 15/108 , 70/180 и 20/225. б)10/72 , 96/108 и 70/144. Очень нужно, заранее спасибо.

Answer 1

5/36,7/18,4/45
нельзя,9,12,нельзя

Answer 2

*44735777488551857556784

Answer 3

Task: Simplify and find the least common denominator for the given fractions:

a) 15/108, 70/180, and 20/225. b) 10/72, 96/108, and 70/144.

To simplify fractions, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. Then, we can find the least common denominator (LCD) by finding the least common multiple (LCM) of the denominators.

Let's solve each part step by step.

a) Simplifying and finding the least common denominator for 15/108, 70/180, and 20/225:

Step 1: Simplify the fractions: - 15/108 = 5/36 (dividing both numerator and denominator by the GCD, which is 3) - 70/180 = 7/18 (dividing both numerator and denominator by the GCD, which is 10) - 20/225 = 4/45 (dividing both numerator and denominator by the GCD, which is 5)

Step 2: Finding the least common denominator (LCD): To find the LCD, we need to find the LCM of the denominators, which are 36, 18, and 45.

The LCM of 36, 18, and 45 is 180. Therefore, the least common denominator for the fractions 15/108, 70/180, and 20/225 is 180.

b) Simplifying and finding the least common denominator for 10/72, 96/108, and 70/144:

Step 1: Simplify the fractions: - 10/72 = 5/36 (dividing both numerator and denominator by the GCD, which is 2) - 96/108 = 8/9 (dividing both numerator and denominator by the GCD, which is 12) - 70/144 = 35/72 (dividing both numerator and denominator by the GCD, which is 2)

Step 2: Finding the least common denominator (LCD): To find the LCD, we need to find the LCM of the denominators, which are 36, 9, and 72.

The LCM of 36, 9, and 72 is 72. Therefore, the least common denominator for the fractions 10/72, 96/108, and 70/144 is 72.

To summarize: a) The simplified fractions are 5/36, 7/18, and 4/45. The least common denominator is 180. b) The simplified fractions are 5/36, 8/9, and 35/72. The least common denominator is 72.

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