Question

2 2/3 х 3 1/4 - 2 1/4 x 2/3​

Answer 1

Ответ:

х=-2...............

Answer 2

Ответ:

7 1/6

Пошаговое объяснение:

2 2/3 * 3 1/4 - 2 1/4 * 2/3​ = 8/3 * 13/4 - 9/4 * 2/3 =

26/3 - 3/2 = (26*2 - 3*3)/6 = (52 - 9)/6 = 43/6 = 7 1/6

Answer 3

To solve the expression, let's convert the mixed numbers to improper fractions and perform the multiplication and subtraction:

2 2/3 × 3 1/4 - 2 1/4 × 2/3

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

2 2/3 = (2 × 3 + 2) / 3 = 8/3 3 1/4 = (3 × 4 + 1) / 4 = 13/4 2 1/4 = (2 × 4 + 1) / 4 = 9/4

Now, let's perform the multiplication and subtraction:

8/3 × 13/4 - 9/4 × 2/3

To multiply fractions, multiply the numerators and denominators separately:

(8/3) × (13/4) = (8 × 13) / (3 × 4) = 104/12 = 26/3

(9/4) × (2/3) = (9 × 2) / (4 × 3) = 18/12 = 3/2

Now, we have:

26/3 - 3/2

To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 3 and 2 is 6:

(26/3) × (2/2) - (3/2) × (3/3) = 52/6 - 9/6 = (52 - 9) / 6 = 43/6

Therefore, the result of the expression 2 2/3 × 3 1/4 - 2 1/4 × 2/3 is 43/6.