Question

5/7-13/14. -1 1/3-1 1/6. -5/9-(-2/3). -0,5-(-1/4). -1/3+0,5

Answer 1

Ответ:

5/7-13/14=

для начала выберем общий знаменатель,это будет число 14

получается и числитель , и знаменатель нужно умножить на 2

10/14 - 13/14 = -3/14

-1 1/3-1 1/6 =

здесь тоже нужно подобрать общий знаменатель, число 6

-1 2/6-1 1/6=-2 3/6

можно сократить

=-2 1/3

5/9-(-2/3) =

общий знаменатель будет 9

5/9-(-6/9)=11/9 , т.к. это неправильная дробь, можно сделать смешанное число 1 2/9

Answer 2

Let's simplify each of the expressions step-by-step:

1. 5/7 - 13/14: To subtract fractions, we need a common denominator. The least common multiple (LCM) of 7 and 14 is 14. So, we rewrite the fractions with a common denominator: (5/7) - (13/14) = (10/14) - (13/14) = -3/14

2. -1 1/3 - 1 1/6: We need to convert the mixed numbers into improper fractions and then find a common denominator. The common denominator here is 6. (-1 1/3) - (1 1/6) = (-4/3) - (7/6) = (-8/6) - (7/6) = -15/6 = -2 3/6 = -2 1/2

3. -5/9 - (-2/3): Remember that subtracting a negative number is the same as adding its positive counterpart. (-5/9) - (-2/3) = (-5/9) + (2/3) To find a common denominator, which is 9, we rewrite (2/3) as (6/9): (-5/9) + (6/9) = 1/9

4. -0.5 - (-1/4): Convert -0.5 to a fraction by dividing -1 by 2: -1/2 Now, we have: (-1/2) - (-1/4) To find a common denominator, which is 4, we rewrite (-1/2) as (-2/4): (-2/4) - (-1/4) = -1/4

5. -1/3 + 0.5: To add these fractions, we need a common denominator. The common denominator is 3. We rewrite 0.5 as 1/2 (both are the same value). (-1/3) + (1/2) To find a common denominator, which is 6, we rewrite (-1/3) as (-2/6): (-2/6) + (1/2) = -2/6 + 3/6 = 1/6

So, the simplified expressions are:

1. 5/7 - 13/14 = -3/14
2. -1 1/3 - 1 1/6 = -2 1/2
3. -5/9 - (-2/3) = 1/9
4. -0.5 - (-1/4) = -1/4
5. -1/3 + 0.5 = 1/6