Question

(1*1/5:36+1,2:1/4-1*5/16):7*1/24

Answer 1

Ответ:

Пошаговое объяснение:

1) 1 * 1/5 = 1/5

2) 1/5 : 36 = 1/5 * 1/36 = 1/180

3) 1,2 : 1/4 = 1. 2/10 : 1/4 =

12/10 * 4/1 = 48/10 = 4. 8/10 = 4. 4/5

4) 1 * 5/16 = 5/16

5) 1/180 + 4. 4/5 - 5/16 =

4/720 + 4. 576/720 - 225/720 =

4. 580/720 - 225/720 =

4. 355/720 = 4. 71/144

6) 4. 71/144 : 7 = 647/144 * 1/7 = 647/1008

7) 647/1008 * 1/24 = 647/24192

Ответ: 647/24192

Answer 2

Let's break down the expression step by step:

$\frac{{1 \times \frac{1}{5} + \frac{1}{2} \times \frac{1}{4} - 1 \times \frac{5}{16}}}{{7 \times \frac{1}{24}}}$

Step 1: Calculate the products and divisions within the parentheses:

$= \frac{{\frac{1}{5} + \frac{1}{8} - \frac{5}{16}}}{{\frac{7}{24}}}$

Step 2: Find a common denominator for the fractions:

$= \frac{{\frac{16}{80} + \frac{10}{80} - \frac{25}{80}}}{{\frac{7}{24}}}$

Step 3: Combine the fractions in the numerator:

$= \frac{{\frac{1}{80}}}{{\frac{7}{24}}}$

Step 4: Invert the denominator and multiply:

$= \frac{1}{80} \times \frac{24}{7}$

Step 5: Simplify the fraction:

$= \frac{3}{70}$

So, the result of the expression is $\frac{3}{70}$.