Question

Помогите, пожалуйста!!! Завтра экзамен, а я забыла как это решать. 6 3/10 - 2 7/10 + 9/9= 5 7/11 - 2 10/11 + 7/7= Помогите!!! Заранее всем огромное спасибо!

Answer 1

6 3\10-2 7\10=4+(3\10-7\10)=4-4\10=3 +(10\10-4\10)=3 6\10=3 3\5

5 7\11-2 10\11+7\7=2 +(18\11-10\11)+7\7=2 7/11+7\7=3 7\11

Answer 2

Solving the Equation

To solve the equation, we need to perform addition and subtraction of mixed numbers. Let's break down the steps for each part of the equation.

1. 6 3/10 - 2 7/10 + 9/9:

To subtract mixed numbers, we need to convert them into improper fractions. Here's how we can do it:

- 6 3/10 can be written as (6 * 10 + 3)/10 = 63/10. - 2 7/10 can be written as (2 * 10 + 7)/10 = 27/10.

Now, we can subtract the fractions:

63/10 - 27/10 = (63 - 27)/10 = 36/10.

Since 36/10 can be simplified, we can write it as 3 6/10, which simplifies to 3 3/5.

Finally, we add 9/9 to the result:

3 3/5 + 9/9 = (3 * 5 + 3)/5 = 18/5.

Therefore, the first part of the equation simplifies to 18/5.

2. 5 7/11 - 2 10/11 + 7/7:

Similar to the previous step, we convert the mixed numbers into improper fractions:

- 5 7/11 can be written as (5 * 11 + 7)/11 = 62/11. - 2 10/11 can be written as (2 * 11 + 10)/11 = 32/11.

Now, we subtract the fractions:

62/11 - 32/11 = (62 - 32)/11 = 30/11.

Since 30/11 cannot be simplified further, we keep it as is.

Finally, we add 7/7 to the result:

30/11 + 7/7 = (30 * 7 + 11)/77 = 221/77.

Therefore, the second part of the equation simplifies to 221/77.

Final Result

Now that we have simplified both parts of the equation, we can subtract them:

18/5 - 221/77.

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 5 * 77 = 385.

Converting both fractions to have a denominator of 385:

- 18/5 can be written as (18 * 77)/385 = 1386/385. - 221/77 can be written as (221 * 5)/385 = 1105/385.

Now, we can subtract the fractions:

1386/385 - 1105/385 = (1386 - 1105)/385 = 281/385.

Since 281/385 cannot be simplified further, we keep it as is.

Therefore, the final result of the equation is 281/385.

I hope this helps! Good luck with your exam!