Question

1) (3,5+2 1/3) : (3,5-2 1/3) 2) (5.6-3 1/3) : (1.5 + 1 1/3)

Answer 1

1) (3,5+2 1/3):(3,5-2 1/3) =(35/10+7/3):(35/10-7/3)=35/6*6/7=5
2) (5,6-3 1/3):(1,5+1 1/3) =(56/10-10/3):(3/2+4/3)=34/15*6/17=12/15=0,8

Answer 2

Let's solve the given expressions step by step:

1. (3,5 + 2 1/3) : (3,5 - 2 1/3)

To simplify this expression, we need to convert the mixed numbers to improper fractions:

3,5 = 3 + 0,5 = 3 + 1/2 = 6/2 + 1/2 = 7/2 2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3

Now we can substitute these values into the expression:

(7/2) : (7/3)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(7/2) * (3/7) = (7 * 3) / (2 * 7) = 21/14

Simplifying the fraction, we get:

21/14 = 3/2

Therefore, the result of the expression (3,5 + 2 1/3) : (3,5 - 2 1/3) is 3/2.

2. (5.6 - 3 1/3) : (1.5 + 1 1/3)

Again, let's convert the mixed numbers to improper fractions:

3 1/3 = 3 + 1/3 = 9/3 + 1/3 = 10/3 1 1/3 = 1 + 1/3 = 3/3 + 1/3 = 4/3

Now substitute the values:

(5.6 - 10/3) : (1.5 + 4/3)

To simplify further, let's convert the decimal to a fraction:

5.6 = 5 + 0.6 = 5 + 6/10 = 5 + 3/5 = 25/5 + 3/5 = 28/5

Substituting all the values into the expression:

(28/5 - 10/3) : (1.5 + 4/3)

To perform the addition and subtraction, we need a common denominator:

(28/5 - 10/3) : (3/2 + 4/3)

The common denominator for 5 and 3 is 15:

(84/15 - 50/15) : (9/5 + 20/15)

Simplifying:

(34/15) : (9/5 + 20/15)

To add fractions with different denominators, we need a common denominator:

(34/15) : (27/15 + 20/15)

(34/15) : (47/15)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(34/15) * (15/47) = (34 * 15) / (15 * 47) = 510/705

Simplifying the fraction, we get:

510/705 = 2/3

Therefore, the result of the expression (5.6 - 3 1/3) : (1.5 + 1 1/3) is 2/3.