Question

А) 4 1/30-3 1/20 б) 14 1/12- 1 1/18 в) 3 9/34-2 7/17

Answer 1

Ответ......................

Answer 2

To perform the subtraction of the given mixed numbers, we need to find a common denominator. Let's solve each subtraction problem step by step:

a) 4 1/30 - 3 1/20:

To find a common denominator, we need to find the least common multiple (LCM) of 30 and 20, which is 60.

4 1/30 = (4 * 30 + 1) / 30 = 121/30 3 1/20 = (3 * 20 + 1) / 20 = 61/20

Now, both fractions have a common denominator of 60:

121/30 - 61/20 = (121 * 2)/(30 * 2) - (61 * 3)/(20 * 3) = 242/60 - 183/60 = (242 - 183)/60 = 59/60

Therefore, the result is 59/60.

b) 14 1/12 - 1 1/18:

To find a common denominator, we need to find the LCM of 12 and 18, which is 36.

14 1/12 = (14 * 12 + 1) / 12 = 169/12 1 1/18 = (1 * 18 + 1) / 18 = 19/18

Now, both fractions have a common denominator of 36:

169/12 - 19/18 = (169 * 3)/(12 * 3) - (19 * 2)/(18 * 2) = 507/36 - 38/36 = (507 - 38)/36 = 469/36

Since the result is an improper fraction, we can simplify it:

469/36 = 13 1/36

Therefore, the result is 13 1/36.

c) 3 9/34 - 2 7/17:

To find a common denominator, we need to find the LCM of 34 and 17, which is 34.

3 9/34 = (3 * 34 + 9) / 34 = 111/34 2 7/17 = (2 * 17 + 7) / 17 = 41/17

Now, both fractions have a common denominator of 34:

111/34 - 41/17 = (111 * 2)/(34 * 2) - (41 * 2)/(17 * 2) = 222/68 - 82/34 = (222 - 82)/68 = 140/68

Since the fraction is not in its simplest form, we can simplify it by finding the greatest common divisor (GCD) of 140 and 68, which is 4:

140/68 = (140/4)/(68/4) = 35/17

Therefore, the result is 35/17.