Question

1)1/11+1/5+4/11+4/5+6/11 2)1/15+4/15+1/18+5/18+2/21+5/21+1/24+7/24

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ:

1) 1

2) 4/3

Пошаговое объяснение:

Answer 3

Let's simplify the given expressions:

1. 1/11 + 1/5 + 4/11 + 4/5 + 6/11

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 11 and 5 is 55. So, we'll rewrite each fraction with a denominator of 55:

1/11 = (1/11) * (5/5) = 5/55 1/5 = (1/5) * (11/11) = 11/55 4/11 = (4/11) * (5/5) = 20/55 4/5 = (4/5) * (11/11) = 44/55 6/11 = (6/11) * (5/5) = 30/55

Now, we can add these fractions:

5/55 + 11/55 + 20/55 + 44/55 + 30/55 = (5 + 11 + 20 + 44 + 30) / 55 = 110 / 55 = 2

So, the result is 2.

2. 1/15 + 4/15 + 1/18 + 5/18 + 2/21 + 5/21 + 1/24 + 7/24

To add these fractions, we need to find a common denominator. The LCM of 15, 18, 21, and 24 is 504. So, we'll rewrite each fraction with a denominator of 504:

1/15 = (1/15) * (504/504) = 504/7560 4/15 = (4/15) * (336/336) = 1344/7560 1/18 = (1/18) * (280/280) = 280/5040 5/18 = (5/18) * (280/280) = 1400/5040 2/21 = (2/21) * (240/240) = 480/5040 5/21 = (5/21) * (240/240) = 1200/5040 1/24 = (1/24) * (210/210) = 210/5040 7/24 = (7/24) * (210/210) = 1470/5040

Now, we can add these fractions:

504/7560 + 1344/7560 + 280/5040 + 1400/5040 + 480/5040 + 1200/5040 + 210/5040 + 1470/5040 = (504 + 1344 + 280 + 1400 + 480 + 1200 + 210 + 1470) / 5040 = 5968 / 5040 = 1492 / 1260

We can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):

GCD(1492, 1260) = 4 1492 / 4 = 373 1260 / 4 = 315

So, the simplified result is 373/315.