Question

3/8 : ( -4 ) ⁻¹ + ( - 2/3 + 1 )

Answer 1

3/8 : ( -4 ) ⁻¹ + ( - 2/3 + 1 ) = 3/8*(-4)+(-2/3+3/3)=-3/2+1/3=-9/6+2/6=-7/6

Answer 2

To simplify the given expression, follow these steps:

Step 1: Evaluate the expression within the parentheses first.

-4⁻¹ = 1 / (-4) = -1/4

(-2/3 + 1) = -2/3 + 1 = (1 - 2/3) = (3/3 - 2/3) = 1/3

Step 2: Now, perform the division and addition:

3/8 ÷ (-4)⁻¹ + (-2/3 + 1)

Since (-4)⁻¹ = -1/4, the expression becomes:

3/8 ÷ (-1/4) + 1/3

Step 3: To divide fractions, multiply the first fraction by the reciprocal of the second fraction:

3/8 × (-4/-1) + 1/3

Now, multiply the fractions:

-12/8 + 1/3

Step 4: Find a common denominator (24) and adjust the fractions:

-12/8 can be simplified to -3/2.

-3/2 + 1/3 = (-9/6) + (2/6) = (-9 + 2) / 6 = -7/6

So, the final simplified expression is:

-7/6