Question

14-13,2:(3 4/21-2 4/15)=?

Answer 1

Ответ:

- 28/97

Пошаговое объяснение:

=14-66/5:(67/21-34/15)=14-66/5:97/105=14-66/5*105/97=14-66*21/97=14-1386/97=-28/97

Answer 2

To solve the expression 14-13.2:(3 4/21-2 4/15), let's break it down step by step:

First, let's simplify the expression inside the parentheses: (3 4/21 - 2 4/15).

To subtract the mixed numbers, we need to convert them into improper fractions.

3 4/21 can be converted to an improper fraction as follows: 3 * 21 = 63 63 + 4 = 67 So, 3 4/21 is equivalent to 67/21.

2 4/15 can be converted to an improper fraction as follows: 2 * 15 = 30 30 + 4 = 34 So, 2 4/15 is equivalent to 34/15.

Now, the expression becomes: 14 - 13.2 : (67/21 - 34/15).

Next, let's simplify the subtraction inside the parentheses: 67/21 - 34/15.

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 21 and 15 is 105.

67/21 can be converted to an equivalent fraction with a denominator of 105: (67/21) * (5/5) = 335/105.

34/15 can be converted to an equivalent fraction with a denominator of 105: (34/15) * (7/7) = 238/105.

Now, the expression becomes: 14 - 13.2 : (335/105 - 238/105).

Next, let's simplify the subtraction inside the parentheses: 335/105 - 238/105.

The denominators are the same, so we subtract the numerators: (335 - 238) / 105 = 97/105.

Now, the expression becomes: 14 - 13.2 : (97/105).

To divide by a fraction, we multiply by its reciprocal.

The reciprocal of 97/105 is 105/97.

Now, the expression becomes: 14 - 13.2 * (105/97).

Let's perform the multiplication: 13.2 * (105/97) = 1386/97.

Finally, the expression becomes: 14 - 1386/97.

To subtract a fraction from a whole number, we need a common denominator. The denominator 97 can be multiplied by 14 to make it the common denominator.

14 * 97 = 1358.

Now, the expression becomes: (14 * 97)/97 - 1386/97.

Performing the subtraction: 1358/97 - 1386/97 = -28/97.

Therefore, the simplified value of 14 - 13.2:(3 4/21 - 2 4/15) is -28/97.