Question

A) 3 1/3÷k=1 1/3÷2 b) y ÷1 1/2=2 1/3×1/3 Reshite eti uravneniya plz, nujen ne tolko otvet, a polnostiu reshenie

Answer 1

P. S. Решение представлено на фотографии.

Answer 2

A) Let's solve the equation step by step:

3 1/3 ÷ k = 1 1/3 ÷ 2

First, let's convert the mixed numbers into improper fractions:

10/3 ÷ k = 4/3 ÷ 2

Next, let's simplify the fractions on both sides:

(10/3) ÷ k = (4/3) ÷ 2

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

(10/3) × (1/k) = (4/3) × (1/2)

Now, we can simplify the equation further:

(10/3k) = (4/6)

To simplify the fractions, we multiply the numerator and denominator by the same number to eliminate the denominators:

(10/3k) = (2/3)

Next, we cross-multiply:

2(3k) = 10(3)

6k = 30

Divide both sides by 6 to isolate the variable:

k = 30/6

k = 5

Therefore, the solution to the equation is k = 5.

B) Let's solve the equation step by step:

y ÷ 1 1/2 = 2 1/3 × 1/3

First, let's convert the mixed numbers into improper fractions:

y ÷ (3/2) = (7/3) × (1/3)

Next, let's simplify the fractions on both sides:

y ÷ (3/2) = (7/3) × (1/3)

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

y ÷ (3/2) = (7/3) × (3/1)

Now, we can simplify the equation further:

y ÷ (3/2) = 7/1

To divide by a fraction, we multiply by its reciprocal:

y × (2/3) = 7/1

Next, we can simplify the equation:

(2y/3) = 7/1

To eliminate the fraction, we can multiply both sides by 3:

3 × (2y/3) = 3 × (7/1)

2y = 21

Divide both sides by 2 to isolate the variable:

y = 21/2

y = 10 1/2

Therefore, the solution to the equation is y = 10 1/2.