Question

А) 7/18 + 1/27 =? Б) 0,9 - 5/16 =?В) 5/6 - (1/2 - 2/7) =

Answer 1

А) [tex]\frac{7}{18} + \frac{1}{27} = \frac{21}{54} + \frac{2}{54} = \frac{23}{54}

Answer 2

А) To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 18 and 27 is 54.

First, let's convert both fractions to have a denominator of 54: 7/18 = (7/18) * (3/3) = 21/54 1/27 = (1/27) * (2/2) = 2/54

Now, we can add the fractions: 21/54 + 2/54 = 23/54

So, 7/18 + 1/27 = 23/54.

Б) To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 16 and 10 is 160.

0.9 is equivalent to 9/10.

Let's convert 9/10 to have a denominator of 160: 9/10 = (9/10) * (16/16) = 144/160

Now, we can subtract the fractions: 144/160 - 5/16 = (144 - 50)/160 = 94/160

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2: 94/160 = (94/2)/(160/2) = 47/80

So, 0.9 - 5/16 = 47/80.

В) Let's simplify the expression step by step:

1/2 - 2/7 = (7/7)(1/2) - (2/7) = 7/14 - 4/14 = 3/14

Now, we can subtract 3/14 from 5/6: 5/6 - 3/14 = (35/42) - (9/42) = 26/42

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2: 26/42 = (26/2)/(42/2) = 13/21

So, 5/6 - (1/2 - 2/7) = 13/21.