Question

1)-2+1 7/8 2)-1+2 1/9 3) -4+3 1/2 4)-5/7+4/7. 5)-5/8+7/8. 6)-1/6+1 7)5/12—1/12. 8)7/15—11/15. 9)5/6—1/16.​

Answer 1

Пошаговое объяснение:

1)-2+1 7/8 =-1 8/8+1 7/8=-1 1/8

2)-1+2 1/9 =1 1/9

3) -4+3 1/2 =-3 2/2+3 1/2=-1/2

4)-5/7+4/7=-1/7

5)-5/8+7/8.=2/8=1/4

6)-1/6+1=5/6

7)5/12—1/12. =4/12=3/4

8)7/15—11/15. =-6/15=-3/5

9)5/16—1/16.=4/16=1/4

Answer 2

Let's solve the given expressions:

1. -2 + 1 7/8: To add these numbers, we need to find a common denominator for 8 and 1. The common denominator is 8. -2 + 1 7/8 = -2 + 15/8

Next, we need to convert -2 to the fraction with a denominator of 8: -2 = -16/8

Now, we can add the fractions: -16/8 + 15/8 = -1/8

Therefore, -2 + 1 7/8 equals -1/8.

2. -1 + 2 1/9: To add these numbers, we need to find a common denominator for 9 and 1. The common denominator is 9. -1 + 2 1/9 = -1 + 19/9

Next, we need to convert -1 to the fraction with a denominator of 9: -1 = -9/9

Now, we can add the fractions: -9/9 + 19/9 = 10/9

Therefore, -1 + 2 1/9 equals 10/9.

3. -4 + 3 1/2: To add these numbers, we need to find a common denominator for 2 and 1. The common denominator is 2. -4 + 3 1/2 = -4 + 7/2

Next, we need to convert -4 to the fraction with a denominator of 2: -4 = -8/2

Now, we can add the fractions: -8/2 + 7/2 = -1/2

Therefore, -4 + 3 1/2 equals -1/2.

4. -5/7 + 4/7: When the denominators are the same, we can simply add the numerators: -5/7 + 4/7 = -1/7

Therefore, -5/7 + 4/7 equals -1/7.

5. -5/8 + 7/8: When the denominators are the same, we can simply add the numerators: -5/8 + 7/8 = 2/8

Simplifying the fraction by dividing both the numerator and denominator by 2, we get: 2/8 = 1/4

Therefore, -5/8 + 7/8 equals 1/4.

6. -1/6 + 1: To add these numbers, we need to find a common denominator for 6 and 1. The common denominator is 6. -1/6 + 1 = -1/6 + 6/6

Now, we can add the fractions: -1/6 + 6/6 = 5/6

Therefore, -1/6 + 1 equals 5/6.

7. 5/12 - 1/12: When the denominators are the same, we can simply subtract the numerators: 5/12 - 1/12 = 4/12

Simplifying the fraction by dividing both the numerator and denominator by 4, we get: 4/12 = 1/3

Therefore, 5/12 - 1/12 equals 1/3.

8. 7/15 - 11/15: When the denominators are the same, we can simply subtract the numerators: 7/15 - 11/15 = -4/15

Therefore, 7/15 - 11/15 equals -4/15.

9. 5/6 - 1/16: To subtract these numbers, we need to find a common denominator for 6 and 16. The common denominator is 48. 5/6 - 1/16 = 40/48 - 3/48

Now, we can subtract the fractions: 40/48 - 3/48 = 37/48

Therefore, 5/6 - 1/16 equals 37/48.