Question

-25 1/6-(3 1/6+2 1/4)÷3 3/4×(-3,6)

Answer 1

-25 1/6 - (3 1/6+ 2 1/4): 3 3/4* (-3,6)= -29 17/30

1) 3 1/6+ 2 1/4= 38/12+27/12=55/12

2) 55/12:3 3/4=55/12:15/4=11/9

3) 11/9*(-3,6)=11/9*-36/10=-22/5

4) -25 1/6-22/5=-151/6-22/5=-755/30-132/30=-887/30= -29 17/30

Answer 2

To solve this expression, let's break it down step by step:

1. Calculate the addition and subtraction inside the parentheses:

   • (3 1/6 + 2 1/4) = 5 1/6

2. Now, the expression becomes:

   -25 1/6 - 5 1/6 ÷ 3 3/4 × (-3.6)

3. Next, perform the division:

   -5/6 ÷ 3 3/4 = -5/6 ÷ (15/4)

   To divide fractions, you can multiply by the reciprocal:

   -5/6 ÷ (15/4) = -5/6 × (4/15) = -20/90 = -2/9

4. The expression now becomes:

   -25 1/6 - 2/9 × (-3.6)

5. To multiply a fraction by a whole number, simply multiply the fraction by the whole number:

   -2/9 × (-3.6) = -2/9 × (-36/10) = 72/90

6. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 18:

   (72/18) / (90/18) = 4/5

7. The final step:

   -25 1/6 - 4/5

Now, we need to subtract the two values:

-25 1/6 is the same as -151/6 when expressed as an improper fraction.

Now, subtract -151/6 from 4/5:

-151/6 - 4/5

To subtract fractions, they need to have a common denominator. The common denominator for 6 and 5 is 30. So, we'll rewrite the fractions with a common denominator:

-151/6 = -151/6 * 5/5 = -755/30

-4/5 = -4/5 * 6/6 = -24/30

Now, subtract the fractions:

-755/30 - 24/30 = (-755 - 24)/30 = -779/30

So, the final result is -779/30.