Question

1/3 х (4 - (1 1/2)³)х (3 - 2 7/15)=

Answer 1

Ответ:

1/9

Пошаговое объяснение:

1/3 * (4 - (1 1/2)³) * (3 - 2 7/15) = 1/3*(4-(3/2)³) * 8/15 =

1/3 * (4 - 27/8) * 8/15 = 1/3 * (4 - 3 3/8) * 8/15 = 1/3 * 5/8 * 8/15 = 1/9

Answer 2

To calculate the value of the expression 1/3 × (4 - (1 1/2)³) × (3 - 2 7/15), you can follow these steps:

Step 1: Calculate (1 1/2)³: (1 1/2)³ = (3/2)³ = 27/8

Step 2: Calculate (2 7/15): 2 7/15 = 2 + 7/15 = 30/15 + 7/15 = 37/15

Step 3: Calculate the expressions in parentheses: 4 - (1 1/2)³ = 4 - 27/8 = (32/8) - (27/8) = 5/8 3 - 2 7/15 = 3 - 37/15 = (45/15) - (37/15) = 8/15

Step 4: Calculate the overall expression: 1/3 × (5/8) × (8/15)

Now, multiply the fractions:

(1/3) × (5/8) × (8/15) = (1/3) × (5/8) × (8/15)

To simplify, you can cancel out common factors. In this case, the 8 in the numerator and denominator of the second fraction cancels with the 8 in the third fraction:

(1/3) × (5/1) × (1/15) = (5/3) × (1/15)

Now, multiply the remaining fractions:

(5/3) × (1/15) = 5/45

Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:

(5/5) / (45/5) = 1/9

So, the value of the expression is 1/9.