Copyright Ⓒ 2013-2026
tiger-algebra.com

This site is best viewed with Javascript. If you are unable to turn on Javascript, please click here.

Introduzir uma equação ou problema

Entrada de câmara não reconhecida!

Solução - Solucionador Tiger Algebra

Resultado final Passos Termos e tópicos

0, 5 (859649122807017543)

0,5(859649122807017543)

Ver passos Aprende mais com o Tiger Tente isto:

Explicação passo a passo

1. Monte a divisao longa

$\frac{167}{285}$

$\frac{167}{285} = 167 \div 285$ .

$\frac{167}{285}$

$\frac{167}{285} = 167 \div 285$ .

$\frac{167}{285}$

$\frac{167}{285} = 167 \div 285$ .

$167 \div 285$

$\frac{167}{285} = 167 \div 285$ .

$167 \div 285$

$\frac{167}{285} = 167 \div 285$ .

2. Identifique o ciclo de repeticao

$\frac{167}{285}$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$\frac{167}{285}$

$\frac{1670}{285} = d i g i t 5, r e m a \in d e r 245$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$245$

$\frac{2450}{285} = d i g i t 8, r e m a \in d e r 170$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$170$

$\frac{1700}{285} = d i g i t 5, r e m a \in d e r 275$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$275$

$\frac{2750}{285} = d i g i t 9, r e m a \in d e r 185$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$185$

$\frac{1850}{285} = d i g i t 6, r e m a \in d e r 140$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$140$

$\frac{1400}{285} = d i g i t 4, r e m a \in d e r 260$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$260$

$\frac{2600}{285} = d i g i t 9, r e m a \in d e r 35$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$35$

$\frac{350}{285} = d i g i t 1, r e m a \in d e r 65$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$65$

$\frac{650}{285} = d i g i t 2, r e m a \in d e r 80$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$80$

$\frac{800}{285} = d i g i t 2, r e m a \in d e r 230$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$230$

$\frac{2300}{285} = d i g i t 8, r e m a \in d e r 20$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$20$

$\frac{200}{285} = d i g i t 0, r e m a \in d e r 200$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$200$

$\frac{2000}{285} = d i g i t 7, r e m a \in d e r 5$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$5$

$\frac{50}{285} = d i g i t 0, r e m a \in d e r 50$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$50$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$14$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859.649.122.807.017.543$ .

$0, 5 (859649122807017543)$

$167 \to 245 \to 170 \to 275 \to 185 \to 140 \to 260 \to 35$ , $859, 649, 122, 807, 017, 543$ .

3. Escreva o decimal periodico

$167 / 285 = 0, 5 (859649122807017543)$

$0, 5 (859649122807017543)$

$5 (859.649.122.807.017.543) = 0.5 (859649122807017543)$ .

$0, 5 (859649122807017543)$

$5 (859.649.122.807.017.543) = 0.5 (859649122807017543)$ .

$0, 5 (859649122807017543)$

$5 (859, 649, 122, 807, 017, 543) = 0, 5 (859649122807017543)$ .

Esta explicação foi útil?

Como nos saímos?

Deixa-nos um comentário

Porque aprender isto

Aprende mais com o Tiger

Decimais periódicos são comuns em álgebra e estatística. Detectar ciclos ajuda na aritmética exata e na verificação de respostas.

Termos e tópicos

Solucionador Tiger Algebra