Ułamki:http://img839.imageshack.us/img839/659/matmas.pngProszę rozpiszcie mi te 4 przykłady bo chce .... Question from @Cmok19

September 2018 1 25 Report

Ułamki:

http://img839.imageshack.us/img839/659/matmas.png

Proszę rozpiszcie mi te 4 przykłady bo chce się w końcu tego nauczyć xD.

$(3\frac{3}{4}-2\frac{7}{8})\ :\ (5\frac{1}{5}-3\frac{1}{3})=(3\frac{6}{8}-2\frac{7}{8})\ :\ (5\frac{3}{15}-3\frac{5}{15})=\\=(2\frac{14}{8}-2\frac{7}{8})\ :\ (4\frac{18}{15}-3\frac{5}{15})=\frac{7}{8}\ :\ 1\frac{13}{15}=\\=\frac{7}{8}\ :\ \frac{28}{15}=\frac{7}{8}\cdot\frac{15}{28}=\frac{1}{8}\cdot{15}{4}=\frac{15}{32}$

$(1\frac{2}{3}-\frac{1}{2})^2-(\frac{5}{6})^2=(1\frac{4}{6}-\frac{3}{6})^2-\frac{25}{36}=\\=(1\frac{1}{6})^2-\frac{25}{36}=(\frac{7}{6})^2-\frac{25}{36}=\frac{49}{36}-\frac{25}{36}=\frac{24}{36}=\frac{2}{3}$

$6\frac{2}{3}\ :\ 2\frac{1}{2}+7\frac{1}{3}\cdot1\frac{1}{4}-5\ :\ 1\frac{1}{2}=\frac{20}{3}\ :\ \frac{5}{2}+\frac{22}{3}\cdot\frac{5}{4}-5\ :\ \frac{3}{2}=\\=\frac{20}{3}\cdot\frac{2}{5}+\frac{11}{3}\cdot\frac{5}{2}-\frac{5}{1}\cdot\frac{2}{3}=$ $\\=\frac{4}{3}\cdot\frac{2}{1}+\frac{55}{6}-\frac{10}{3}=\frac{8}{3}+9\frac{1}{6}-3\frac{1}{3}=2\frac{2}{3}+9\frac{1}{6}-3\frac{2}{6}=\\=2\frac{4}{6}+9\frac{1}{6}-3\frac{2}{6}=11\frac{5}{6}-3\frac{2}{6}=8\frac{3}{6}=8\frac{1}{2}$

$\frac{(2\frac{3}{5}-1\frac{1}{4})\ :\ 1\frac{7}{20}}{2\frac{2}{5}-3\frac{4}{5}\ :\ 4\frac{3}{4}}=\frac{(2\frac{12}{20}-1\frac{5}{20})\ :\ 1\frac{7}{20}}{2\frac{2}{5}-\frac{19}{5}\ :\ \frac{19}{4}}=$ $\\=\frac{1\frac{7}{20}\ :\ 1\frac{7}{20}}{2\frac{2}{5}-\frac{19}{5}\cdot\frac{4}{19}}=\frac{1}{2\frac{2}{5}-\frac{4}{5}}=1\ :\ (1\frac{7}{5}-\frac{4}{5})=\\=1\ :\ 1\frac{3}{5}=1\ :\ \frac{8}{5}=1\cdot\frac{5}{8}=\frac{5}{8}$