Question

Реши уравнение и выполни соответствие.
—
55
72
.
т —
5
36
п= 2
сл|cs
105
143
7
13
п= 15
8
-
273
21
т —
11
15
ОО
- 13
= 2
63
480
7
32
п —​

Answer 1

См. в приложении.

$\tt\displaystyle\frac{55}{72}*n=\frac{5}{36}$

$n=\tt\displaystyle\frac{5}{36}:\frac{55}{72}$

$n=\tt\displaystyle\frac{5}{36}*\frac{72}{55}$

$n=\tt\displaystyle\frac{5*72}{36*55}$

$n=\tt\displaystyle\frac{5*2*36}{36*5*11}$

$n=\tt\displaystyle\frac{2}{11}$

===================

$n*\tt\displaystyle\frac{105}{143}=\frac{7}{13}$

$n=\tt\displaystyle\frac{7}{13}:\frac{105}{143}$

$n=\tt\displaystyle\frac{7}{13}*\frac{143}{105}$

$n=\tt\displaystyle\frac{7*13*11}{13*7*15}$

$n=\tt\displaystyle\frac{11}{15}$

===================

$n*\tt\displaystyle\frac{40}{273}=\frac{8}{21}$

$n=\tt\displaystyle\frac{8}{21}:\frac{40}{273}$

$n=\tt\displaystyle\frac{8}{21}*\frac{273}{40}$

$n=\tt\displaystyle\frac{8*273}{21*40}$

$n=\tt\displaystyle\frac{8*13*21}{21*5*8}$

$n=\tt\displaystyle\frac{13}{5}$

$n=2\tt\displaystyle\frac{3}{5}$

===================

$\tt\displaystyle\frac{63}{480}*n=\frac{7}{32}$

$n=\tt\displaystyle\frac{7}{32}:\frac{63}{480}$

$n=\tt\displaystyle\frac{7}{32}*\frac{480}{63}$

$n=\tt\displaystyle\frac{7*480}{32*63}$

$n=\tt\displaystyle\frac{7*15*32}{32*7*9}$

$n=\tt\displaystyle\frac{15}{9}$

$n=1\tt\displaystyle\frac{6}{9}$ (дробь можно еще сократить):

$n=1\tt\displaystyle\frac{2}{3}$