Question

2 2/9 * 7 1/5 + 11/12 * 7 1/5 - 7 1/5 * 1 3/4 =

Answer 1

1 целая 26/45 смешанное число

Answer 2

To simplify the given expression, follow these steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the operations in the correct order (multiplication and division before addition and subtraction). Step 3: Reduce the result to a mixed number (if possible).

Let's proceed with the calculations:

1. Convert mixed numbers to improper fractions: 2 2/9 = (2 * 9 + 2) / 9 = 20/9 7 1/5 = (7 * 5 + 1) / 5 = 36/5 1 3/4 = (1 * 4 + 3) / 4 = 7/4

2. Perform the operations in order: a) 20/9 * 36/5 = (20 * 36) / (9 * 5) = 720 / 45 = 16 b) 11/12 * 36/5 = (11 * 36) / (12 * 5) = 396 / 60 = 33/5 c) 36/5 * 7/4 = (36 * 7) / (5 * 4) = 252 / 20 = 63/5

3. Now, we have the expression: 16 + 33/5 - 63/5

To combine the fractions, they need the same denominator: 16 = 16 * 5/5 = 80/5

Now, the expression becomes: 80/5 + 33/5 - 63/5

Combine the fractions: (80 + 33 - 63) / 5 = 50/5 = 10

The simplified expression is 10.