Question

4*(-4/7-2/3)-5/12:8 3/4

Answer 1

4*(-26/21)-5/12:35/4=
-104/21-5/12*4/35=
-104/21-1/3*1/7=
-104/21-1/21= -5

Ответ :-5

Answer 2

Let's solve the expression step by step:

Step 1: Simplify the expression inside the parentheses. 4 * (-4/7 - 2/3)

To add these fractions, we need to find a common denominator, which is 21 (the least common multiple of 7 and 3).

Step 1.1: Convert -4/7 to an equivalent fraction with a denominator of 21: -4/7 = -4/7 * 3/3 = -12/21

Step 1.2: Convert -2/3 to an equivalent fraction with a denominator of 21: -2/3 = -2/3 * 7/7 = -14/21

Now, the expression inside the parentheses becomes: 4 * (-12/21 - 14/21)

Step 1.3: Combine the fractions inside the parentheses: (-12/21 - 14/21) = -26/21

Step 2: Now we have: 4 * (-26/21) - 5/12 ÷ 8 3/4

Step 3: Next, let's calculate the division: 5/12 ÷ 8 3/4

To divide fractions, we multiply by the reciprocal of the divisor (8 3/4): 5/12 ÷ 8 3/4 = 5/12 * 4/35 (since 8 3/4 is the same as 35/4)

Step 3.1: Multiply the fractions: (5/12) * (4/35) = 20/420 = 1/21

Step 4: Substitute the result of the division back into the expression: 4 * (-26/21) - 1/21

Step 5: Finally, let's simplify the expression further:

Step 5.1: Multiply: 4 * (-26/21) = -104/21

Step 5.2: Subtract: -104/21 - 1/21 = (-104 - 1)/21 = -105/21

Step 5.3: Simplify the fraction: -105/21 = -5

The final result of the expression is -5.