Question

(4 1/12*1 5/7-5 2/9)*3/8 вычислите одним действием

Answer 1

(49/12*12/5-47/9)*3/8=(49/5-47/9)*3/8=441-235/45=206/45*3/8=103/60=1 43/60

Answer 2

To compute the expression (4 1/12 * 1 5/7 - 5 2/9) * 3/8 in one step, follow these steps:

Step 1: Convert all the mixed numbers to improper fractions.

• 4 1/12 = (4 * 12 + 1) / 12 = 49 / 12
• 1 5/7 = (1 * 7 + 5) / 7 = 12 / 7
• 5 2/9 = (5 * 9 + 2) / 9 = 47 / 9

Step 2: Perform the operations inside the parentheses. (49 / 12 * 12 / 7 - 47 / 9) * 3/8

Step 3: Perform the multiplications and subtractions. (7 / 1 - 47 / 9) * 3/8 (63/9 - 47/9) * 3/8 (16/9) * 3/8

Step 4: Multiply the fractions. (16/9) * (3/8) = (16 * 3) / (9 * 8) = 48 / 72 = 2/3

So, the final result of the expression is 2/3.