Question

1/5+1/9+1/3? 5/6+3/8-1/4? 1/3+4/9+5/6? 1/2+3/5-2/3? 5/9+1/6+3/4? 1/4+1/5-3/10?

Answer 1

Ответ:

1/5+1/9+1/3=9+5+15/45=29/45

1/2+3/5-2/3=15+18-20/30=12/30=2/5

5/6+3/8-1/4=20+9-6/24=23/24

5/9+1/6+3/4=20+6+27/36=57/36=1 21/36

1/3+4/9+5/6=6+8+15/18=29/18=1 11/18

1/4+1/5-3/10=5+4+6/20=15/20=3/4

Answer 2

Let's solve each of these arithmetic expressions step by step:

1. 1/5 + 1/9 + 1/3: To add fractions with different denominators, we first need to find a common denominator. The common denominator for 5, 9, and 3 is 45. Now, let's convert each fraction to have a denominator of 45:

(1/5) * (9/9) = 9/45 (1/9) * (5/5) = 5/45 (1/3) * (15/15) = 15/45

Now, add the fractions together:

9/45 + 5/45 + 15/45 = 29/45

2. 5/6 + 3/8 - 1/4: To subtract fractions, we also need to find a common denominator. The common denominator for 6, 8, and 4 is 24. Now, let's convert each fraction to have a denominator of 24:

(5/6) * (4/4) = 20/24 (3/8) * (3/3) = 9/24 (1/4) * (6/6) = 6/24

Now, add the fractions together:

20/24 + 9/24 - 6/24 = 23/24

3. 1/3 + 4/9 + 5/6: To add fractions, we need to find a common denominator. The common denominator for 3, 9, and 6 is 18. Now, let's convert each fraction to have a denominator of 18:

(1/3) * (6/6) = 6/18 (4/9) * (2/2) = 8/18 (5/6) * (3/3) = 15/18

Now, add the fractions together:

6/18 + 8/18 + 15/18 = 29/18 (Note: 29/18 is an improper fraction)

4. 1/2 + 3/5 - 2/3: To subtract fractions, we need to find a common denominator. The common denominator for 2, 5, and 3 is 30. Now, let's convert each fraction to have a denominator of 30:

(1/2) * (15/15) = 15/30 (3/5) * (6/6) = 18/30 (2/3) * (10/10) = 20/30

Now, add the fractions together:

15/30 + 18/30 - 20/30 = 13/30

5. 5/9 + 1/6 + 3/4: To add fractions, we need to find a common denominator. The common denominator for 9, 6, and 4 is 36. Now, let's convert each fraction to have a denominator of 36:

(5/9) * (4/4) = 20/36 (1/6) * (6/6) = 6/36 (3/4) * (9/9) = 27/36

Now, add the fractions together:

20/36 + 6/36 + 27/36 = 53/36 (Note: 53/36 is an improper fraction)

6. 1/4 + 1/5 - 3/10: To subtract fractions, we need to find a common denominator. The common denominator for 4, 5, and 10 is 20. Now, let's convert each fraction to have a denominator of 20:

(1/4) * (5/5) = 5/20 (1/5) * (4/4) = 4/20 (3/10) * (2/2) = 6/20

Now, add the fractions together:

5/20 + 4/20 - 6/20 = 3/20

So, the results of each expression are:

1. 1/5 + 1/9 + 1/3 = 29/45
2. 5/6 + 3/8 - 1/4 = 23/24
3. 1/3 + 4/9 + 5/6 = 29/18 (or 1 11/18 as a mixed number)
4. 1/2 + 3/5 - 2/3 = 13/30
5. 5/9 + 1/6 + 3/4 = 53/36 (or 1 17/36 as a mixed number)
6. 1/4 + 1/5 - 3/10 = 3/20