ГДЗ Математика 5 класс Никольский, Потапов, Решетников

ГДЗ Математика 5 класс Никольский, Потапов, Решетников

авторы: Никольский, Потапов, Решетников.

издательство: Просвещение 2017 год

Математика 5 класс Никольский. Номер №766

Сократите дроби по образцу:
а)

\frac{24}{36} = \frac{\overset{1}{2} * 12}{\underset{1}{2} * 18} = \frac{2 * \overset{1}{6}}{3 * \underset{1}{6}} = \frac{2}{3}

, короче:

\frac{\overset{2}{24}}{\underset{3}{36}} = \frac{2}{3}

;
б)

\frac{4}{8}, \frac{9}{36}, \frac{7}{28}, \frac{5}{35}

;
в)

\frac{2}{8}, \frac{8}{24}, \frac{12}{28}, \frac{45}{100}

;
г)

\frac{25}{35}, \frac{45}{54}, \frac{8}{400}, \frac{32}{256}

;
д)

\frac{12}{18}, \frac{18}{20}, \frac{20}{24}, \frac{24}{30}

;
е)

\frac{56}{49}, \frac{40}{32}, \frac{48}{36}, \frac{28}{21}

;
ж)

\frac{21}{56}, \frac{144}{120}, \frac{156}{128}, \frac{396}{240}

.

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Математика 5 класс Никольский. Номер №766

Решение б

\frac{4}{8} = \frac{\overset{1}{2} * 2}{\underset{1}{2} * 4} = \frac{1 * \overset{1}{2}}{2 * \underset{1}{2}} = \frac{1}{2}

,
короче:

\frac{\overset{1}{4}}{\underset{2}{8}} = \frac{1}{2}

.

\frac{9}{36} = \frac{\overset{1}{3} * 3}{\underset{1}{3} * 12} = \frac{1 * \overset{1}{3}}{4 * \underset{1}{3}} = \frac{1}{4}

,
короче:

\frac{\overset{1}{9}}{\underset{4}{36}} = \frac{1}{4}

.

\frac{7}{28} = \frac{\overset{1}{7} * 1}{\underset{1}{7} * 4} = \frac{1}{4}

,
короче:

\frac{\overset{1}{7}}{\underset{4}{28}} = \frac{1}{4}

.

\frac{5}{35} = \frac{\overset{1}{5} * 1}{\underset{1}{5} * 7} = \frac{1}{7}

,
короче:

\frac{\overset{1}{5}}{\underset{7}{35}} = \frac{1}{7}

.

Решение в

\frac{2}{8} = \frac{\overset{1}{2} * 1}{\underset{1}{2} * 4} = \frac{1}{4}

,
короче:

\frac{\overset{1}{2}}{\underset{4}{8}} = \frac{1}{4}

.

\frac{8}{24} = \frac{\overset{1}{2} * 4}{\underset{1}{2} * 12} = \frac{1 * \overset{1}{4}}{3 * \underset{1}{4}} = \frac{1}{3}

,
короче:

\frac{\overset{1}{8}}{\underset{3}{24}} = \frac{1}{3}

.

\frac{12}{28} = \frac{\overset{1}{2} * 6}{\underset{1}{2} * 14} = \frac{3 * \overset{1}{2}}{7 * \underset{1}{2}} = \frac{3}{7}

,
короче:

\frac{\overset{3}{12}}{\underset{7}{28}} = \frac{3}{7}

.

\frac{45}{100} = \frac{\overset{1}{5} * 9}{\underset{1}{5} * 20} = \frac{9}{2}

,
короче:

\frac{\overset{9}{45}}{\underset{20}{100}} = \frac{9}{20}

.

Решение г

\frac{25}{35} = \frac{\overset{1}{5} * 5}{\underset{1}{5} * 7} = \frac{5}{7}

,
короче:

\frac{\overset{5}{25}}{\underset{7}{35}} = \frac{5}{7}

.

\frac{45}{54} = \frac{\overset{1}{3} * 15}{\underset{1}{3} * 18} = \frac{5 * \overset{1}{3}}{6 * \underset{1}{3}} = \frac{5}{6}

,
короче:

\frac{\overset{5}{45}}{\underset{6}{54}} = \frac{5}{6}

\frac{8}{400} = \frac{\overset{1}{2} * 4}{\underset{1}{2} * 200} = \frac{1 * \overset{1}{4}}{50 * \underset{1}{4}} = \frac{1}{50}

,
короче:

\frac{\overset{1}{8}}{\underset{50}{400}} = \frac{1}{50}

.

\frac{32}{256} = \frac{\overset{1}{2} * 16}{\underset{1}{2} * 128} = \frac{1 * \overset{1}{16}}{8 * \underset{1}{16}} = \frac{1}{8}

,
короче:

\frac{\overset{1}{32}}{\underset{8}{256}} = \frac{1}{8}

.

Решение д

\frac{12}{18} = \frac{\overset{1}{2} * 6}{\underset{1}{2} * 9} = \frac{2 * \overset{1}{3}}{3 * \underset{1}{3}} = \frac{2}{3}

,
короче:

\frac{\overset{2}{12}}{\underset{3}{18}} = \frac{2}{3}

\frac{18}{20} = \frac{\overset{1}{2} * 9}{\underset{1}{2} * 10} = \frac{9}{10}

,
короче:

\frac{\overset{9}{18}}{\underset{10}{20}} = \frac{9}{10}

.

\frac{20}{24} = \frac{\overset{1}{2} * 10}{\underset{1}{2} * 12} = \frac{5 * \overset{1}{2}}{6 * \underset{1}{2}} = \frac{5}{6}

,
короче:

\frac{\overset{5}{20}}{\underset{6}{24}} = \frac{5}{6}

.

\frac{24}{30} = \frac{\overset{1}{2} * 12}{\underset{1}{2} * 15} = \frac{4 * \overset{1}{3}}{5 * \underset{1}{3}} = \frac{4}{5}

,
короче:

\frac{\overset{4}{24}}{\underset{5}{30}} = \frac{4}{5}

.

Решение е

\frac{56}{49} = \frac{\overset{1}{7} * 8}{\underset{1}{7} * 7} = \frac{8}{7}

,
короче:

\frac{\overset{8}{56}}{\underset{7}{49}} = \frac{8}{7}

.

\frac{40}{32} = \frac{\overset{1}{2} * 20}{\underset{1}{2} * 16} = \frac{5 * \overset{1}{4}}{4 * \underset{1}{4}} = \frac{5}{4}

,
короче:

\frac{\overset{5}{40}}{\underset{4}{32}} = \frac{5}{4}

.

\frac{48}{36} = \frac{\overset{1}{2} * 24}{\underset{1}{2} * 18} = \frac{4 * \overset{1}{6}}{3 * \underset{1}{6}} = \frac{4}{3}

,
короче:

\frac{\overset{4}{48}}{\underset{3}{36}} = \frac{4}{3}

.

\frac{28}{21} = \frac{\overset{1}{7} * 4}{\underset{1}{7} * 3} = \frac{4}{3}

,
короче:

\frac{\overset{1}{28}}{\underset{3}{21}} = \frac{4}{3}

.

Решение ж

\frac{21}{56} = \frac{\overset{1}{7} * 3}{\underset{1}{7} * 8} = \frac{3}{8}

,
короче:

\frac{\overset{3}{21}}{\underset{8}{56}} = \frac{3}{8}

.

\frac{144}{120} = \frac{\overset{1}{2} * 72}{\underset{1}{2} * 60} = \frac{6 * \overset{1}{12}}{5 * \underset{5}{12}} = \frac{6}{5}

,
короче:

\frac{\overset{6}{144}}{\underset{5}{120}} = \frac{6}{5}

\frac{156}{128} = \frac{\overset{1}{2} * 78}{\underset{1}{2} * 64} = \frac{39 * \overset{1}{2}}{32 * \underset{1}{2}} = \frac{39}{32}

,
короче:

\frac{\overset{39}{156}}{\underset{32}{128}} = \frac{156}{128}

.

\frac{396}{240} = \frac{\overset{1}{2} * 198}{\underset{1}{2} * 120} = \frac{33 * \overset{1}{6}}{20 * \underset{1}{6}} = \frac{33}{20}

,
короче:

\frac{\overset{33}{396}}{\underset{20}{240}} = \frac{33}{20}

.