Question

3)5 1/10+8 3/8;6)9 3/20+7 4/15;9)6 11/12+7 4/15.​

Answer 1

Ответ: 3) 5 1/10+8 3/8=5,1+8,375=13,475;

6)9 3/20+7 4/15=16+(3*1,5+4*2)/30=16 125/300=16 5/12;

9)6 11/12+7 4/15=13+(11*5+16*4)/60=13+119/60=13+1 59/60=14 59/60.​

Пошаговое объяснение:

Answer 2

Let's solve the given addition problems:

3. 5 1/10 + 8 3/8:

To add mixed numbers, we first need to convert them to improper fractions.

5 1/10 = (10 * 5 + 1) / 10 = 51/10 8 3/8 = (8 * 8 + 3) / 8 = 67/8

Now, we can add the fractions:

51/10 + 67/8

To add fractions, we need to find a common denominator. The least common multiple (LCM) of 10 and 8 is 40.

Converting the fractions to have a denominator of 40:

51/10 * 4/4 = 204/40 67/8 * 5/5 = 335/40

Now, we can add the fractions:

204/40 + 335/40 = (204 + 335) / 40 = 539/40

Therefore, 5 1/10 + 8 3/8 = 539/40.

6. 9 3/20 + 7 4/15:

Converting the mixed numbers to improper fractions:

9 3/20 = (20 * 9 + 3) / 20 = 183/20 7 4/15 = (15 * 7 + 4) / 15 = 109/15

Adding the fractions:

183/20 + 109/15

The LCM of 20 and 15 is 60.

Converting the fractions to have a denominator of 60:

183/20 * 3/3 = 549/60 109/15 * 4/4 = 436/60

Adding the fractions:

549/60 + 436/60 = (549 + 436) / 60 = 985/60

Reducing the fraction to simplest form:

985/60 = 164 5/12

Therefore, 9 3/20 + 7 4/15 = 164 5/12.

9. 6 11/12 + 7 4/15:

Converting the mixed numbers to improper fractions:

6 11/12 = (12 * 6 + 11) / 12 = 83/12 7 4/15 = (15 * 7 + 4) / 15 = 109/15

Adding the fractions:

83/12 + 109/15

The LCM of 12 and 15 is 60.

Converting the fractions to have a denominator of 60:

83/12 * 5/5 = 415/60 109/15 * 4/4 = 436/60

Adding the fractions:

415/60 + 436/60 = (415 + 436) / 60 = 851/60

Reducing the fraction to simplest form:

851/60 = 14 11/60

Therefore, 6 11/12 + 7 4/15 = 14 11/60.