Question

Розвязать тема дробь Дадавание и отнимание смешанных чисел 1)10-2/152)15/23+13/233)2целых3/5+3целых4/54)6целых2/9-2целых4/95)15целых8/10-9целых9/10+6целых3/10ПОЖАЛУЙСТА ЭТО СРОЧНО​

Answer 1

______________________

Answer 2

Adding and Subtracting Mixed Numbers

To solve the given problems involving adding and subtracting mixed numbers, we will follow the steps below:

1. Convert any whole numbers to fractions by placing them over 1. 2. Find a common denominator for the fractions involved. 3. Perform the addition or subtraction operation on the fractions. 4. Simplify the resulting fraction, if necessary.

Let's solve the given problems step by step:

1) 10 - 2/15:

To subtract mixed numbers, we need to convert the whole number to a fraction. So, 10 can be written as 10/1. Now, we have:

10/1 - 2/15

To find a common denominator, we need to find the least common multiple (LCM) of the denominators, which is 15 in this case. Now, we have:

(10 * 15)/15 - 2/15 = 150/15 - 2/15

Performing the subtraction operation, we get:

150/15 - 2/15 = (150 - 2)/15 = 148/15

Therefore, the solution is 148/15.

2) 15/23 + 13/23:

To add mixed numbers, we can directly add the fractions. Since the denominators are the same, we can add the numerators and keep the denominator unchanged. Now, we have:

15/23 + 13/23 = (15 + 13)/23 = 28/23

Therefore, the solution is 28/23.

3) 2 3/5 + 3 4/5:

To add mixed numbers, we need to convert the whole numbers to fractions. So, we have:

2 3/5 = (2 * 5 + 3)/5 = 13/5 3 4/5 = (3 * 5 + 4)/5 = 19/5

Now, we can add the fractions:

13/5 + 19/5 = (13 + 19)/5 = 32/5

Therefore, the solution is 32/5.

4) 6 2/9 - 2 4/9:

To subtract mixed numbers, we need to convert the whole numbers to fractions. So, we have:

6 2/9 = (6 * 9 + 2)/9 = 56/9 2 4/9 = (2 * 9 + 4)/9 = 22/9

Now, we can subtract the fractions:

56/9 - 22/9 = (56 - 22)/9 = 34/9

Therefore, the solution is 34/9.

5) 15 8/10 - 9 9/10 + 6 3/10:

To add and subtract mixed numbers, we need to convert the whole numbers to fractions. So, we have:

15 8/10 = (15 * 10 + 8)/10 = 158/10 9 9/10 = (9 * 10 + 9)/10 = 99/10 6 3/10 = (6 * 10 + 3)/10 = 63/10

Now, we can perform the addition and subtraction operations:

158/10 - 99/10 + 63/10 = (158 - 99 + 63)/10 = 122/10

Simplifying the fraction, we get:

122/10 = 61/5

Therefore, the solution is 61/5.

I hope this helps! Let me know if you have any further questions.