Question

(3 1/8+2 1/6)*2*2*2/3+1 1/8/4,5

Answer 1

Ответ:

14 13/36

Пошаговое объяснение:

1) 3 1/8 + 2 1/6 = 3 3/24 + 2 4/24 = 5 7/24

2) 5 7/24 * 2 * 2 = 127/24 * 4 = 127/6 * 1 = 127/6

3) 127/6 * 2/3 = 127/3 * 1/3 = 127/9 = 14 1/9

4) 1 1/8 / 4,5 = 9/8 : 45/10 = 9/8 * 10/45 = 1/4 * 5/5 = 1/4 * 1 = 1/4

5) 14 1/9 + 1/4 = 14 4/36 + 9/36 = 14 13/36

Answer 2

To solve the expression (3 1/8 + 2 1/6) * 2 * 2 * 2 / 3 + 1 1/8 / 4.5, we need to follow the order of operations, which is typically expressed as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right). Let's break it down step by step:

Step 1: Simplify the addition inside the parentheses. 3 1/8 + 2 1/6 = 25/8 + 13/6

To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 8 and 6 is 24.

(25/8)(3/3) + (13/6)(4/4) = 75/24 + 52/24 = (75 + 52)/24 = 127/24

Step 2: Perform the remaining multiplications and divisions from left to right. (127/24) * 2 * 2 * 2 / 3 + 1 1/8 / 4.5

= (127/24) * 8 / 3 + 1 1/8 / 4.5 = (127/24) * (8/3) + 1 1/8 / 4.5 = (127/24) * (8/3) + (9/8) / (9/2) = (127/24) * (8/3) + (9/8) * (2/9) = (127/24) * (8/3) + 1/4

Step 3: Simplify the remaining multiplications and divisions. To multiply fractions, multiply the numerators and denominators separately.

(127/24) * (8/3) = (127 * 8) / (24 * 3) = 1016/72 = 127/9

Now, we have:

(127/9) + 1/4

To add these fractions, we need to find a common denominator. The LCM of 9 and 4 is 36.

(127/9)(4/4) + (1/4)(9/9) = 508/36 + 9/36 = (508 + 9)/36 = 517/36

So, the final result is 517/36.