Question

1) 5 15/28+9 7/18-1 1/28 3 2/18=? 2) 4 7/17+1 3/16+2 13/16+5 10/17=? 3) 6 18/37+5 11/20-2 18/37+5 9/20=? 4) 14 6/19+1 7/8+2 5/8-4 6/19=? Помогите пожалуйста решить, я не знаю как

Answer 1

1) 23,78153 2)46,889706 3)39,31081

Answer 2

1. To add and subtract mixed numbers, you first need to convert them to improper fractions.

5 15/28 can be written as (528 + 15)/28 = 155/28 9 7/18 can be written as (918 + 7)/18 = 175/18 1 1/28 can be written as (128 + 1)/28 = 29/28 3 2/18 can be written as (318 + 2)/18 = 56/18

Now we can rewrite the expression as:

155/28 + 175/18 - 29/28 + 56/18

To add and subtract fractions, we need to find a common denominator. The smallest common multiple of 18 and 28 is 252, so we can rewrite each fraction with a denominator of 252:

(1559 + 2525)/252 + (17514 + 2527)/252 - (299 + 2521)/252 + (5614 + 2525)/252

Simplifying the numerators gives:

(1395 + 1260)/252 + (2450 + 1764)/252 - (261 + 252)/252 + (784 + 1260)/252

Combining like terms gives:

2655/252 = 35/4

Therefore, the answer is 8 3/4.

2. Converting the mixed numbers to improper fractions:

4 7/17 = (417 + 7)/17 = 75/17 1 3/16 = (116 + 3)/16 = 19/16 2 13/16 = (216 + 13)/16 = 45/16 5 10/17 = (517 + 10)/17 = 95/17

Rewriting the expression with a common denominator:

75/17 + 19/16 + 45/16 + 95/17

The smallest common multiple of 16 and 17 is 272, so we can rewrite each fraction with a denominator of 272:

(7516 + 27215)/272 + (1917 + 272)/272 + (4517 + 27217)/272 + (9516 + 272*10)/272

Simplifying the numerators gives:

(1200 + 4080)/272 + (323 + 272)/272 + (765 + 4624)/272 + (1520 + 2720)/272

Combining like terms gives:

5285/272 = 19 197/272

Therefore, the answer is 19 197/272.

3. Converting the mixed numbers to improper fractions:

6 18/37 = (637 + 18)/37 = 240/37 5 11/20 = (520 + 11)/20 = 111/20 5 9/20 = (5*20 + 9)/20 = 109/20

Rewriting the expression with a common denominator:

240/37 + 111/20 - 218/37 + 109/20

The smallest common multiple of 20 and 37 is 740, so we can rewrite each fraction with a denominator of 740:

(24020 + 37740)/740 + (11137 + 2037)/740 - (21820 + 37740)/740 + (10937 + 2037)/740

Simplifying the numerators gives:

(4800 + 273