Question

Помогите вычислить.1) 7/8 - 5/62) 13/16+7/243) 19/20 - 6/12+ 9/54) 2 целых 2/4 - 1 целых 5/65) 4 целых 2/5 + 3 целых 5/6

Answer 1

1)
7/8-5/6=21/24-20/24=1/24
2)
13/16+7/24=39/48+14/48=53/48=1 5/48

3)
19/20 - 6/12+ 9/5=57/60-30/60+108/60=135/60=7/4=1 3/4

4)
2 целых 2/4 - 1 целых  5/6=10/4-11\6=30/12-22\12=8/12=2\3

5)
4 целых 2/5 + 3 целых 5/6=22/5+23/6=132/30+115/30=247/30=8 7/30

Answer 2

1) 7/8 - 5/6 To subtract these fractions, we need to find a common denominator. The least common multiple of 8 and 6 is 24, so we can rewrite the fractions with this denominator: (7/8) * (3/3) = 21/24 (5/6) * (4/4) = 20/24

Now we can subtract them: 21/24 - 20/24 = 1/24

2) 13/16 + 7/24 To add these fractions, we need to find a common denominator. The least common multiple of 16 and 24 is 48, so we can rewrite the fractions with this denominator: (13/16) * (3/3) = 39/48 (7/24) * (2/2) = 14/48

Now we can add them: 39/48 + 14/48 = 53/48

3) 19/20 - 6/12 + 9/5 First, we need to find a common denominator for the first two fractions. The least common multiple of 20 and 12 is 60, so we can rewrite the fractions with this denominator: (19/20) * (3/3) = 57/60 (6/12) * (5/5) = 30/60

Now we can subtract them: 57/60 - 30/60 = 27/60

Now we need to find a common denominator for this result and the third fraction. The least common multiple of 60 and 5 is 60, so we can rewrite the fractions with this denominator: (27/60) = 27/60 (9/5) * (12/12) = 108/60

Now we can add them: 27/60 + 108/60 = 135/60 = 9/4

4) 2 2/4 - 1 5/6 First, we need to convert the mixed numbers to improper fractions: 2 2/4 = 2 + 2/4 = 2 + 1/2 = 5/2 1 5/6 = 1 + 5/6 = 1 + 5/6 = 11/6

Now we can subtract them: 5/2 - 11/6 To subtract these fractions, we need to find a common denominator. The least common multiple of 2 and 6 is 6, so we can rewrite the fractions with this denominator: (5/2) * (3/3) = 15/6 (11/6) * (2/2) = 22/6

Now we can subtract them: 15/6 - 22/6 = -7/6

5) 4 2/5 + 3 5/6 First, we need to convert the mixed numbers to improper fractions: 4 2/5 = 4 + 2/5 = 20/5 + 2/5 = 22/5 3 5/6 = 3 + 5/6 = 18/6 + 5/6 = 23/6

Now we can add them: 22/5 + 23/6 To add these fractions, we need to find a common denominator. The least common multiple of 5 and 6 is 30, so we can rewrite the fractions with this denominator: (22/5) * (6/6) = 132/30 (23/6) * (5/5) = 115/30

Now we can add them: 132/30 + 115/30 = 247/30

So, the results of the calculations are: 1) 1/24 2) 53/48 3) 9/4 4) -7/6 5) 247/30