Question

2 1/4 * (3+4 1/8 * 2 2/11)

Answer 1

Ответ:

27

Пошаговое объяснение:

2 1/4*(3+4 1/8*2 2/11)=27

Answer 2

Ответ:

Пошаговое объяснение:

2 1/4 * (3+4 1/8 * 2 2/11) = 9/4 * (3+33/8*24/11)= 9/4*(3+9)= 9/4*12= 27

Answer 3

To solve the expression 2 1/4 * (3+4 1/8 * 2 2/11), we need to follow the order of operations (also known as PEMDAS/BODMAS). This means we need to perform the operations inside parentheses first, then any multiplications or divisions from left to right, and finally any additions or subtractions from left to right.

Let's break down the expression step by step:

First, let's calculate 4 1/8 * 2 2/11:

4 1/8 = (4 * 8 + 1) / 8 = 33/8 2 2/11 = (2 * 11 + 2) / 11 = 24/11

Now, let's multiply these two fractions:

(33/8) * (24/11) = (33 * 24) / (8 * 11) = 792/88

Next, let's simplify the fraction:

792/88 = 9

Now, let's substitute this result back into the original expression:

2 1/4 * (3+9)

Next, let's calculate the addition inside the parentheses:

3 + 9 = 12

Finally, let's multiply the whole expression:

2 1/4 * 12

To multiply a whole number by a mixed number, we can convert the whole number to a fraction:

2 = 2/1

Now, let's multiply the fractions:

(2/1) * (9/4) = (2 * 9) / (1 * 4) = 18/4

Simplifying the fraction:

18/4 = 9/2

Therefore, the final result is 9/2 or 4 1/2.