Question

(-2/3+7)×4×5/6-3/4= ​

Answer 1

Пошаговое объяснение:

(-2/3+7)×4×5/6-3/4=24 1/4

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

2)6 1/3×4= 19/3×4=76/3=25 1/3

3)25 1/3×5/6=76/3×5/6=450/18=25

4)25-3/4=24 4/4-3/4=24 1/4

Answer 2

Ответ:

Пошаговое объяснение:

(-2/3+7)×4×5/6-3/4=24 1/4

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

2)6 1/3×4= 19/3×4=76/3=25 1/3

3)25 1/3×5/6=76/3×5/6=450/18=25

4)25-3/4=24 4/4-3/4=24 1/4

Answer 3

To solve the given expression (-2/3 + 7) × 4 × 5/6 - 3/4, we'll follow the order of operations (also known as PEMDAS/BODMAS).

Let's break it down step by step:

Step 1: Simplify the addition inside the parentheses. -2/3 + 7 = 21/3 - 2/3 = 19/3

The expression becomes: (19/3) × 4 × 5/6 - 3/4

Step 2: Simplify the multiplication from left to right. (19/3) × 4 = (19 × 4) / 3 = 76/3

The expression becomes: (76/3) × 5/6 - 3/4

Step 3: Simplify the multiplication. (76/3) × 5/6 = (76 × 5) / (3 × 6) = 380 / 18 = 190/9

The expression becomes: 190/9 - 3/4

Step 4: Find a common denominator for subtraction. The denominators are 9 and 4, so the common denominator is 36.

190/9 = (190 × 4) / (9 × 4) = 760/36 3/4 = (3 × 9) / (4 × 9) = 27/36

The expression becomes: 760/36 - 27/36

Step 5: Subtract the fractions. 760/36 - 27/36 = (760 - 27) / 36 = 733/36

Therefore, the final simplified value of the expression is 733/36.