Question

(4 1/3 - 3 4/9)•(2 1/4)=?

Answer 1

Правильный ответ — 2
(13/31 -31/9) • 9/4= 8/9 • 9/4 = 8/4 = 2

Answer 2

To solve the expression (4 1/3 - 3 4/9) • (2 1/4), follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

4 1/3 = (4 * 3 + 1) / 3 = 13/3 3 4/9 = (3 * 9 + 4) / 9 = 31/9 2 1/4 = (2 * 4 + 1) / 4 = 9/4

Step 2: Perform the subtraction inside the parentheses.

(13/3 - 31/9) • 9/4

Step 3: Find a common denominator for the fractions.

The common denominator for 3 and 9 is 9. So, we convert the fractions:

13/3 = (13/3) * (3/3) = 39/9 31/9 = (31/9) * (1/1) = 31/9

Step 4: Perform the subtraction.

(39/9 - 31/9) • 9/4 = 8/9 • 9/4

Step 5: Cancel out the common factors (9) in the numerator and denominator.

8/9 • 1/4 = 8/36

Step 6: Simplify the fraction (if possible).

8/36 can be simplified to 2/9.

So, the final result is 2/9.