Question

9,8 : (10-3 7/15)•1 1/27

Answer 1

Ответ:

11/18 или 0,61

на фотографии полное решение

Answer 2

To solve the expression 9.8 : (10 - 3 7/15) * 1 1/27, let's break it down step by step:

First, let's simplify the expression within the parentheses: 10 - 3 7/15.

To subtract mixed numbers, we need to convert them into improper fractions. So, 3 7/15 can be rewritten as an improper fraction:

3 7/15 = (3 * 15 + 7) / 15 = 52/15.

Now, we can substitute this value back into the expression:

10 - 52/15.

To simplify this subtraction, we need a common denominator. The common denominator for 15 and 1 is 15. Therefore, we rewrite 10 as 10/1:

10/1 - 52/15.

Now we can find a common denominator of 15 and subtract the fractions:

(10 * 15)/15 - 52/15 = 150/15 - 52/15 = 98/15.

The expression within the parentheses simplifies to 98/15.

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

9.8 : (98/15) * 1 1/27.

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

9.8 : (98/15) * 1 1/27 = 9.8 * (98/15) * 1 1/27.

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

1 1/27 = (1 * 27 + 1) / 27 = 28/27.

Now we can substitute this value back into the expression:

9.8 * (98/15) * 28/27.

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

(9.8 * 98 * 28) / (15 * 27).

Calculating the numerator:

9.8 * 98 * 28 = 26824.

Calculating the denominator:

15 * 27 = 405.

So, the expression becomes:

26824/405.

This is the simplified form of the expression 9.8 : (10 - 3 7/15) * 1 1/27.