Question

(4 1/5-2 3/4)•2 2/19(7 5/12-3 1/6)•2 2/17​

Answer 1

Ответ:................

Answer 2

To calculate the expression (4 1/5 - 2 3/4) * 2 2/19 * (7 5/12 - 3 1/6) * 2 2/17, we'll break it down step by step:

Step 1: Simplify the subtractions inside the parentheses:

• (4 1/5 - 2 3/4) = (21/5 - 11/4)

Step 2: Find a common denominator for the fractions in the subtraction: To find a common denominator, we'll use the least common multiple (LCM) of 5 and 4, which is 20.

(21/5 - 11/4) = (21/5 * 4/4 - 11/4 * 5/5) = (84/20 - 55/20)

Step 3: Subtract the fractions: (84/20 - 55/20) = (84 - 55)/20 = 29/20

So, (4 1/5 - 2 3/4) = 29/20

Step 4: Simplify the other subtraction inside the second set of parentheses:

• (7 5/12 - 3 1/6) = (89/12 - 19/6)

Step 5: Find a common denominator for the fractions in the subtraction: To find a common denominator, we'll use the least common multiple (LCM) of 12 and 6, which is 12.

(89/12 - 19/6) = (89/12 - 38/12)

Step 6: Subtract the fractions: (89/12 - 38/12) = (89 - 38)/12 = 51/12

So, (7 5/12 - 3 1/6) = 51/12

Step 7: Now, we have simplified both parts of the expression: (4 1/5 - 2 3/4) = 29/20 (7 5/12 - 3 1/6) = 51/12

Step 8: Multiply all the simplified parts together: (29/20) * (2 2/19) * (51/12) * (2 2/17)

Step 9: Multiply the fractions: (29/20) * (2 2/19) * (51/12) * (2 2/17) = (29/20) * (2/19) * (51/12) * (2/17)

Step 10: Multiply the numerators and denominators separately: Numerator: 29 * 2 * 51 * 2 = 5932 Denominator: 20 * 19 * 12 * 17 = 98280

Step 11: Simplify the fraction: (5932/98280) can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

(5932/4) / (98280/4) = 1483/24570

So, the final result is 1483/24570.