Question

(3 1/2+1 4/5) * 3/5 - 1,18 дробь 8 1/8 *2/13 + 1 1/3:1 9/7

Answer 1

Решение в файле...........................

Answer 2

Let's break down the expression step by step:

1. (3 1/2 + 1 4/5) * 3/5 - 1.18

First, we need to add the mixed numbers within the parentheses:

3 1/2 + 1 4/5 = (7/2) + (9/5) = (35/10) + (18/10) = 53/10

So now the expression becomes:

(53/10) * 3/5 - 1.18

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

(53/10) * (3/5) = (533)/(105) = 159/50

Substituting back into the expression:

159/50 - 1.18

To subtract a decimal from a fraction, we need to make the decimal a fraction with the same denominator as the other fraction:

1.18 = 118/100

So the expression becomes:

159/50 - 118/100

To subtract fractions, we need to make sure they have a common denominator:

159/50 - 118/100 = (318/100) - (118/100) = 200/100 = 2

Therefore, the value of the first part of the expression is 2.

2. 8 1/8 * 2/13 + 1 1/3 : 1 9/7

First, let's simplify the division within the parentheses:

1 1/3 : 1 9/7 = (4/3) / (16/7)

To divide fractions, we invert the second fraction and multiply:

(4/3) / (16/7) = (4/3) * (7/16) = 7/12

So now the expression becomes:

8 1/8 * 2/13 + 7/12

To multiply a mixed number and a fraction, we first need to convert the mixed number to an improper fraction:

8 1/8 = (8*8 + 1)/8 = 65/8

So the expression becomes:

65/8 * 2/13 + 7/12

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

(65/8) * (2/13) = (652)/(813) = 130/104

Substituting back into the expression:

130/104 + 7/12

To add fractions, we need to make sure they have a common denominator:

130/104 + 7/12 = (39/32) + (28/32) = 67/32

Therefore, the value of the second part of the expression is 67/32.

3. Putting it all together:

2 + 67/32 = 64/32 + 67/32 = 131/32

So the final answer is 131/32.