Question

1) 40,8+15 2/3 = 2) 18 5/13-9,5= 3) 2 1/3*1,2= 4) 3,5:4 2/3=

Answer 1

1. 40,8+15 2/3= 56 7/15

2.18 5/13-9.5=8 23/26

3.2 1/3*1.2=3.8

4.3.5: 4 2/3=1/4

Answer 2

Let's solve each of the given mathematical expressions step by step:

1. 40 8/15 + 15 2/3

First, convert the mixed numbers to improper fractions: 40 8/15 = (40 * 15 + 8) / 15 = 608/15 15 2/3 = (15 * 3 + 2) / 3 = 47/3

Now, we can add the fractions: 608/15 + 47/3

To add fractions, they need a common denominator. The least common multiple (LCM) of 15 and 3 is 15. So, we'll rewrite the fractions with the common denominator:

(608/15) + (47/3) = (608/15) + (47/3) * (5/5) = (608/15) + (235/15)

Now, add the fractions with the same denominator: (608 + 235) / 15 = 843/15

Now, simplify the fraction if possible: 843 ÷ 3 = 281 15 ÷ 3 = 5

So, the result is: 281/5 = 56 1/5

2. 18 5/13 - 9.5

First, convert the mixed number to an improper fraction: 18 5/13 = (18 * 13 + 5) / 13 = 239/13

Now, subtract 9.5: 239/13 - 9.5 = 239/13 - 9 6/10

To subtract mixed numbers, convert 9.6 to an improper fraction: 9 6/10 = (9 * 10 + 6) / 10 = 96/10

Now, we can proceed with the subtraction: 239/13 - 96/10

To subtract fractions, they need a common denominator. The least common multiple (LCM) of 13 and 10 is 130. So, we'll rewrite the fractions with the common denominator:

(239/13) - (96/10) = (239/13) * (10/10) - (96/10) * (13/13) = (2390/130) - (1248/130)

Now, subtract the fractions with the same denominator: (2390 - 1248) / 130 = 1142/130

Now, simplify the fraction if possible: 1142 ÷ 2 = 571 130 ÷ 2 = 65

So, the result is: 571/65

3. 2 1/3 * 1.2

First, convert the mixed number to an improper fraction: 2 1/3 = (2 * 3 + 1) / 3 = 7/3

Now, multiply by 1.2: 7/3 * 1.2 = 7/3 * 12/10

Now, multiply the fractions: (7 * 12) / (3 * 10) = 84/30

Now, simplify the fraction if possible: 84 ÷ 6 = 14 30 ÷ 6 = 5

So, the result is: 14/5 = 2 4/5

4. 3.5 ÷ 4 2/3

First, convert the mixed number to an improper fraction: 4 2/3 = (4 * 3 + 2) / 3 = 14/3

Now, divide 3.5 by 14/3: 3.5 ÷ 14/3 = 3.5 * 3/14

Now, divide the fractions: (3.5 * 3) / 14 = 10.5 / 14

Now, simplify the fraction if possible: 10.5 ÷ 2 = 5.25 14 ÷ 2 = 7

So, the result is approximately: 5.25/7 = 0.75

Therefore:

1. 40 8/15 + 15 2/3 = 56 1/5
2. 18 5/13 - 9.5 = 571/65
3. 2 1/3 * 1.2 = 2 4/5
4. 3.5 ÷ 4 2/3 = 0.75