Question

6 1/4 - 4 1/8 х 4 + 3 1/3 / 2 1/2​

Answer 1

Ответ:

-113/12

Объяснение:

25/4-33/8*4+10/3*1/2*1/2

25/4-33/2+5/3*1/2

25/4-33/2+5/6

Answer 2

To simplify the expression, you should perform the operations in the following order:

1. Addition and subtraction from left to right.
2. Multiplication and division from left to right.

Let's break down the expression step by step:

1. 6 1/4 - 4 1/8 = (6 - 4) + (1/4 - 1/8) = 2 + 1/8 = 2 1/8

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

Now, let's divide the fractions:

3 1/3 = 10/3 2 1/2 = 5/2

So, (10/3) / (5/2) = (10/3) * (2/5) = (10 * 2) / (3 * 5) = 20/15 = 4/3

Now, we have our two simplified values:

• 6 1/4 - 4 1/8 = 2 1/8
• 3 1/3 / 2 1/2 = 4/3

Finally, we'll multiply these two results:

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

To multiply mixed numbers, first convert them to improper fractions:

2 1/8 = 17/8 4/3 = 4/3

Now, multiply the fractions:

(17/8) * (4/3)

To multiply fractions, multiply the numerators together and the denominators together:

(17 * 4) / (8 * 3) = 68/24

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(68 ÷ 4) / (24 ÷ 4) = 17/6

So, the final result is 17/6.