Question

4/5 + 2/7 | 4 1/2 + 2 3/4 | 2/3 - 5/9. | 1 3/4 - 7/8​

Answer 1

Ответ:

Пошаговое объяснение:

4/5 + 2/7 =28/35+10/35=38/35=1 3/35

4 1/2 + 2 3/4 =4 2/4+2 3/4=6 5/4=7 1/4

2/3 - 5/9=6/9-5/9=1/9

1 3/4 - 7/8=1 6/8-7/8=7/8

Answer 2

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

1. 4/5 + 2/7: To add fractions with different denominators, we need to find a common denominator first. The common denominator for 5 and 7 is 35.

(4/5) + (2/7) = (4/5) * (7/7) + (2/7) * (5/5)
= 28/35 + 10/35
= (28 + 10) / 35
= 38/35

2. 4 1/2 + 2 3/4: To add mixed numbers, first add the whole numbers together and then add the fractions separately.

4 1/2 + 2 3/4 = 4 + 2 + 1/2 + 3/4
= 6 + 1/2 + 3/4
= 6 + 2/4 + 3/4
= 6 + 5/4
= 7 1/4

3. 2/3 - 5/9: To subtract fractions with different denominators, we also need to find a common denominator first. The common denominator for 3 and 9 is 9.

(2/3) - (5/9) = (2/3) * (3/3) - (5/9) * (1/1)
= 6/9 - 5/9
= (6 - 5) / 9
= 1/9

4. 1 3/4 - 7/8: Similarly, let's subtract the whole numbers first and then the fractions.

1 3/4 - 7/8 = 1 - 7/8 + 3/4
= 1 - 7/8 + 6/8
= (8/8) - (7/8) + 6/8
= (8 - 7 + 6) / 8
= 7/8

So the results of the given expressions are:

1. 4/5 + 2/7 = 38/35
2. 4 1/2 + 2 3/4 = 7 1/4
3. 2/3 - 5/9 = 1/9
4. 1 3/4 - 7/8 = 7/8