Question

Розв'яжи рівняння.
1. А) 4 3/4 + Х = 16 7/8.
Б) 0,125 × 1/4 = 1/2 - Х.
В) 7/8 + Х = 5 × (5/6 - 3/5).

Answer 1

Решение и ответ:

$\displaystyle 4\frac{3}{4}+x=16\frac{7}{8}$

$\displaystyle x=16\frac{7}{8}-4\frac{3}{4}$

$\displaystyle x=16\frac{7}{8}-4\frac{6}{8}$

$\displaystyle \boxed{x=12\frac{1}{8}}$

$\displaystyle 0.125 \cdot \frac{1}{4}=\frac{1}{2}-x$

$\displaystyle \frac{1}{8}\cdot \frac{1}{4}=\frac{1}{2}-x$

$\displaystyle \frac{1}{{32}}=\frac{1}{2}-x$

$\displaystyle x=\frac{1}{2}-\frac{1}{{32}}$

$\displaystyle x=\frac{{16}}{{32}}-\frac{1}{{32}}=\frac{{16-1}}{{32}}$

$\displaystyle \boxed{x=\frac{{15}}{{32}}}$

$\displaystyle \frac{7}{8}+x=5\cdot\left({\frac{5}{6}-\frac{3}{5}}\right)$

$\displaystyle \frac{7}{8}+x=5\cdot\left({\frac{{25}}{{30}}-\frac{{18}}{{30}}}\right)$

$\displaystyle \frac{7}{8}+x=5\cdot\frac{7}{{30}}$

$\displaystyle \frac{7}{8}+x=\frac{7}{6}$

$\displaystyle x=\frac{7}{6}-\frac{7}{8}=\frac{{28}}{{24}}-\frac{{21}}{{24}}$

$\displaystyle \boxed{x=\frac{7}{{24}}}$