Question

14 7/15 - 3 3/23 *1 1/5*1/6 7 класс

Answer 1

$14 \frac{7}{15}-3\frac{3}{23}*1\frac{1}{5}*\frac{1}{6}=?$

$1)3\frac{3}{23}*1\frac{1}{5}=\frac{72}{23}*\frac{6}{5}=\frac{432}{115}\\\\2)\frac{432}{115}*\frac{1}{6}=\frac{72}{115}\\\\3)14\frac{7}{15}-\frac{72}{115}= \frac{217}{15}-\frac{72}{115}=\frac{4991}{345}-\frac{216}{345}=\frac{4775}{345}=13\frac{290}{345}=13\frac{58}{69}$

Ответ: $13\frac{58}{69}$

Answer 2

To solve the expression you provided, let's break it down step by step:

14 7/15 - 3 3/23 * 1 1/5 * 1/6

First, let's simplify the multiplication:

1 1/5 * 1/6

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

(6 + 1)/5 * 1/6 = 7/5 * 1/6 = 7/30

Now, let's simplify the subtraction:

14 7/15 - 3 3/23

To subtract mixed numbers, we need to convert them to improper fractions:

14 7/15 = (15 * 14 + 7)/15 = 217/15 3 3/23 = (23 * 3 + 3)/23 = 72/23

Now, we can subtract the fractions:

217/15 - 72/23

To subtract fractions, we need to find a common denominator. The least common multiple of 15 and 23 is 345. Let's convert both fractions to have a denominator of 345:

(217 * 23)/(15 * 23) - (72 * 15)/(23 * 15) = 4991/345 - 1080/345

Now, we can subtract the fractions:

4991/345 - 1080/345 = (4991 - 1080)/345 = 3911/345

Finally, let's multiply the result by the previously calculated fraction:

3911/345 * 7/30

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

(3911 * 7)/(345 * 30) = 27377/10350

Therefore, the final result is 27377/10350.