Question

(-1 1/4)*(-25) * 4/5 - (-36):3/4 + (-16,5)*4 1/4

Answer 1

(-1 1/4) · (-25) · 4/5 - (-36) : 3/4 + (-16,5) · 4 1/4 = 2 7/8

1) (-1 1/4) · (-25) = 5/4 · 25 = 125/4                     (-) · (-) = (+)

2) 125/4 · 4/5 = 125/5 = 25

3) (-36) : 3/4 = (-36)/1 · 4/3 = -12 · 4 = -48         (-) : (+) = (-)

4) (-16,5) · 4 1/4 = (-33/2) · 17/4 = -561/8 = -70 1/8

5) 25 - (-48) = 25 + 48 = 73

6) 73 + (-70 1/8) = 72 8/8 - 70 1/8 = 2 7/8

Ответ: 2 целых 7/8 (или 2,875 в десятичных дробях).

Answer 2

Let's break down the expression step by step:

1. (-1 1/4) * (-25): To multiply mixed numbers, first convert them to improper fractions: -1 1/4 = -5/4 Now, multiply the fractions: (-5/4) * (-25) = (5/4) * (25) = 125/4

2. (125/4) * (4/5): Multiply the fractions: (125/4) * (4/5) = (125 * 4) / (4 * 5) = 500/20 = 25

3. (-36) ÷ (3/4): To divide by a fraction, you can multiply by its reciprocal. The reciprocal of 3/4 is 4/3. (-36) * (4/3) = -144/3 = -48

4. (-16 1/2) * (4 1/4): Convert the mixed numbers to improper fractions: -16 1/2 = -33/2 4 1/4 = 17/4 Now, multiply the fractions: (-33/2) * (17/4) = (-33 * 17) / (2 * 4) = (-561/8)

Now, let's add up all the results:

25 - 48 + (-561/8)

To add and subtract fractions, they need to have the same denominator:

25 - 48 = -23

Now, combine with the fraction:

-23 + (-561/8)

To add these, find a common denominator, which is 8:

(-23 * 8/8) + (-561/8) = (-184/8) + (-561/8)

Now, add the fractions:

(-184 - 561) / 8 = (-745/8)

So, the final result is -745/8.