Question

Выполни действия:3+8 целых 5/124 целых 8/11+5 целых 7/117 целых 5/9+2 целых 8/97-3/8

Answer 1

$3+8\frac{5}{12}=3+\frac{101}{12}=\frac{36+101}{12}=\frac{137}{12}=11\frac{5}{12}$

 

$4\frac{8}{11}+5\frac{7}{11}=\frac{52}{11}+\frac{62}{11}=\frac{52+62}{11}=\frac{114}{11}=10\frac{4}{11}$

 

$7\frac{5}{9}+2\frac{8}{9}=\frac{68}{9}+\frac{26}{9}=\frac{68+26}{9}=\frac{94}{9}=10\frac{4}{9}$

 

$7-\frac{3}{8}=\frac{56-3}{8}=\frac{53}{8}=6\frac{5}{8}$

Answer 2

To solve the given expression, let's break it down step by step:

1. Start with the addition operation: 3 + 8 The result is 11.

2. Next, let's add the mixed fractions: 5/124 + 8/11 To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 124 and 11 is 1364. Now, let's convert the fractions to have a common denominator of 1364: - 5/124 can be multiplied by 11/11 (to get a denominator of 1364) - 8/11 can be multiplied by 124/124 (to get a denominator of 1364)

After converting, we have: 5/124 * 11/11 = 55/1364 8/11 * 124/124 = 992/1364

Adding these fractions together: 55/1364 + 992/1364 = 1047/1364

Now, we have the sum of the mixed fractions as 1047/1364.

3. Moving on to the addition of the next mixed fraction: 5/117 + 5/9 Again, we need to find a common denominator. The LCM of 117 and 9 is 1053. Converting the fractions to have a common denominator of 1053: - 5/117 can be multiplied by 9/9 (to get a denominator of 1053) - 5/9 can be multiplied by 117/117 (to get a denominator of 1053)

After converting, we have: 5/117 * 9/9 = 45/1053 5/9 * 117/117 = 585/1053

Adding these fractions together: 45/1053 + 585/1053 = 630/1053

Now, we have the sum of the mixed fractions as 630/1053.

4. Finally, let's subtract the last fraction: 2 + 8/97 - 3/8 To subtract fractions, we need to have a common denominator. The LCM of 97 and 8 is 776. Converting the fractions to have a common denominator of 776: - 8/97 can be multiplied by 8/8 (to get a denominator of 776) - 3/8 can be multiplied by 97/97 (to get a denominator of 776)

After converting, we have: 8/97 * 8/8 = 64/776 3/8 * 97/97 = 291/776

Subtracting these fractions: 64/776 - 291/776 = -227/776

Now, we have the difference of the fractions as -227/776.

To summarize the given expression: 3 + 8 + 1047/1364 + 630/1053 - 227/776

Please note that the result is a mixed expression, and it can be simplified further if needed.