Question

-3,075 ÷ 1,5 + 0,5 × (0,04 - 3 4/25) = -3,61​

Answer 1

Пошаговое объяснение:

-3,075 ÷ 1,5 + 0,5 × (0,04 - 3 4/25) =-2,05 + 1/2 * (1/25 - 79/25)=-41/20 + 1/2 * (-78/25)=-41/20 - 39/25 =-361/100 = - 3 61/100= -3,61

Answer 2

Let's break down the expression step by step to evaluate it:

-3,075 ÷ 1,5 + 0,5 × (0,04 - 3 4/25) = -3,61

First, let's simplify the expression inside the parentheses:

0,04 - 3 4/25

To subtract a mixed number, we need to convert it to an improper fraction: 3 4/25 = (3 * 25 + 4)/25 = 79/25

0,04 - 79/25

Now, let's find a common denominator for the fractions:

0,04 = 0,04 * 100/100 = 4/100 = 1/25

So the expression inside the parentheses becomes:

1/25 - 79/25 = (1 - 79)/25 = -78/25

Now let's substitute this back into the original expression:

-3,075 ÷ 1,5 + 0,5 × (-78/25)

Next, let's perform the multiplication:

0,5 × (-78/25) = -39/25

Now, let's perform the division:

-3,075 ÷ 1,5 = -2,05

Finally, let's substitute the results back into the original expression:

-2,05 + (-39/25)

To add the fraction to the decimal, we need to convert the decimal to a fraction with the same denominator:

-2,05 = -2 - 0,05 = -2 - 5/100 = -2 - 1/20 = -41/20

Now we can add the fractions:

-41/20 + (-39/25)

To add fractions, we need a common denominator. The least common multiple (LCM) of 20 and 25 is 100, so let's convert the fractions:

-41/20 = -205/100 -39/25 = -156/100

Now we can add the fractions:

-205/100 + (-156/100) = (-205 - 156)/100 = -361/100

Therefore, the final result is -3.61.