Hariliku murru jagamine hariliku murruga (1)

Kuidas jagada harilikku murdu hariliku murruga?
Kuidas jagada segaarve?

Kuidas jagada harilikku murdu hariliku murruga?

Selleks, et jagada harilikku murdu hariliku murruga, tuleb jagatav korrutada jagaja pöördarvuga.

$\frac{a}{b} : \frac{c}{d} = \frac{a}{b} \cdot \frac{d}{c}$

Näide

$\frac{2}{5} : \frac{4}{9} = \frac{2}{5} \cdot \frac{9}{4} = \frac{\overset{1}{2} \cdot 9}{5 \cdot \underset{2}{4}} = \frac{9}{10}$

Kontroll. $\frac{4}{9} \cdot \frac{9}{10} = \frac{\overset{2}{4} \cdot \overset{1}{9}}{\underset{1}{9} \cdot \underset{5}{10}} = \frac{2}{5}$

Seotud sisu

Harjutan

$6 : \frac{1}{7} = 6 \cdot =$

$\frac{3}{2} : \frac{1}{3} = \frac{3}{2} \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$\frac{4}{5} : 6 = \frac{4}{5} \cdot \frac{}{} = \frac{}{}$

$\frac{1}{4} : \frac{5}{4} = \frac{1}{4} \cdot \frac{}{} = \frac{}{}$

$1 : \frac{1}{9} = 1 \cdot =$

$\frac{5}{6} : \frac{1}{2} = \frac{5}{6} \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$\frac{3}{7} : 9 = \frac{3}{7} \cdot \frac{}{} = \frac{}{}$

$\frac{2}{3} : \frac{2}{5} = \frac{2}{3} \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$101 : \frac{1}{2} = 101 \cdot =$

$\frac{4}{11} : \frac{3}{11} = \frac{4}{11} \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$\frac{5}{11} : 10 = \frac{5}{11} \cdot \frac{}{} = \frac{}{}$

$\frac{4}{7} : \frac{7}{10} = \frac{4}{7} \cdot \frac{}{} = \frac{}{}$

$0,2 : \frac{1}{5} = \frac{}{} \cdot \frac{}{} =$

$\frac{3}{5} : \frac{1}{10} = \frac{3}{5} \cdot \frac{}{} =$

$\frac{1}{2} : 5 = \frac{1}{2} \cdot \frac{}{} = \frac{}{}$

$\frac{2}{5} : \frac{2}{5} = \frac{2}{5} \cdot \frac{}{} =$

$\frac{15}{4} : \frac{5}{4} = \frac{15}{4} \cdot \frac{}{} =$

$\frac{5}{18} : \frac{10}{9} = \frac{5}{18} \cdot \frac{}{} = \frac{}{}$

$\frac{3}{8} : \frac{5}{16} = \frac{3}{8} \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$\frac{1}{20} : \frac{1}{5} = \frac{1}{20} \cdot \frac{}{} = \frac{}{}$

$\frac{3}{4} : \frac{7}{8} = \frac{3}{4} \cdot \frac{}{} = \frac{}{}$

$\frac{1}{2} : \frac{1}{4} = \frac{1}{2} \cdot \frac{}{} =$

$\frac{20}{21} : \frac{5}{7} = \frac{20}{21} \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$\frac{1}{5} : 0,3 = \frac{1}{5} \cdot \frac{}{} = \frac{}{}$

$\frac{1}{2} : \frac{1}{4} = \frac{}{} \cdot \frac{}{} =$

$\frac{7}{20} : \frac{14}{15} = \frac{}{} \cdot \frac{}{} = \frac{}{}$

$\frac{1}{4} : \frac{1}{2} = \frac{}{} \cdot \frac{}{} = \frac{}{}$

$\frac{3}{85} : \frac{1}{17} = \frac{}{} \cdot \frac{}{} = \frac{}{}$

Seotud sisu

Kuidas jagada segaarve?

Segaarvude jagamisel teisendame esmalt segaarvud liigmurdudeks ning seejärel jagame.

Näited

$3 \frac{1}{2} : \frac{7}{8} = \frac{7}{2} : \frac{7}{8} = \frac{7}{2} \cdot \frac{8}{7} = \frac{\overset{1}{7} \cdot \overset{4}{8}}{\underset{1}{2} \cdot \underset{1}{7}} = \frac{4}{1} = 4$

$\frac{11}{12} : 2 \frac{1}{5} = \frac{11}{12} : \frac{11}{5} = \frac{11}{12} \cdot \frac{5}{11} = \frac{\overset{1}{11} \cdot 5}{12 \cdot \underset{1}{11}} = \frac{5}{12}$

$4 \frac{2}{3} : 1 \frac{3}{4} = \frac{14}{3} : \frac{7}{4} = \frac{\overset{2}{14} \cdot 4}{3 \cdot \underset{1}{7}} = \frac{2 \cdot 4}{3 \cdot 1} = \frac{8}{3} = 2 \frac{2}{3}$

Seotud sisu

Harjutan

$2 : 1 \frac{1}{5} = 2 \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$10 \frac{1}{2} : 1 \frac{3}{4} = \frac{}{} \cdot \frac{}{} = \frac{}{} =$

$5 \frac{2}{5} : 9 = \frac{}{} \cdot \frac{}{} = \frac{}{}$

$3 \frac{1}{3} : 2 \frac{2}{9} = \frac{}{} \cdot \frac{}{} = \frac{}{} = \frac{}{}$

$0 : 10 \frac{1}{2} =$

$7 \frac{1}{2} : 1 \frac{1}{4} = \frac{}{} \cdot \frac{}{} =$

$1 \frac{1}{3} : 1 \frac{1}{2} = \frac{}{} \cdot \frac{}{} = \frac{}{}$

$4 \frac{2}{3} : 1 \frac{1}{6} = \frac{}{} \cdot \frac{}{} =$

$2 \frac{1}{3} : 1 \frac{1}{6} = \frac{}{} \cdot \frac{}{} = \frac{}{} =$

$8 \frac{2}{5} : 1 \frac{1}{20} = \frac{}{} \cdot \frac{}{} = \frac{}{} =$

$3 \frac{1}{2} : \frac{7}{8} = \frac{}{} \cdot \frac{}{} = \frac{}{} =$

$13 \frac{3}{4} : 20 \frac{5}{8} = \frac{}{} \cdot \frac{}{} = \frac{}{}$

Seotud sisu

Matemaatikaklubi

$1 \frac{3}{7} x + \frac{1}{14} x = 6$

$(1 \frac{3}{7} + \frac{1}{14}) x = 6$

$\frac{}{} x = 6$

$x = 6$ $\frac{}{}$

$x =$

Kontroll

$\frac{10}{7} \cdot + \frac{1}{14} \cdot = \frac{}{7} + \frac{}{7} = \frac{}{7} =$

Vastus. Võrrandi lahend on $x = .$

$\frac{3}{8} x + \frac{1}{4} x = 10$

$(\frac{3}{8} + \frac{1}{4}) x = 10$

$\frac{}{} x = 10$

$x = 10$ $\frac{}{}$

$x =$

Kontroll

$\frac{3}{8} \cdot + \frac{1}{4} \cdot = + =$

Vastus. Võrrandi lahend on $x = .$

$0,2 y + 4 \frac{1}{5} = 4 \frac{1}{3}$

$0,2 y = 4 \frac{1}{3}$ $4 \frac{1}{5}$

$0,2 y = \frac{}{}$

$y = \frac{}{} : \frac{}{}$

$y = \frac{}{}$

Kontroll

$0,2 \cdot \frac{}{} + 4 \frac{1}{5} =$

$= \frac{}{} + 4 \frac{1}{5} = \frac{}{} = \frac{}{}$

Vastus. Võrrandi lahend on $y = \frac{}{} .$

$\frac{5}{6} : (\frac{2}{3} y - \frac{1}{4}) = \frac{5}{3}$

$\frac{2}{3} y - \frac{1}{4} = \frac{5}{6}$ $\frac{5}{3}$

$\frac{2}{3} y = \frac{}{}$ $\frac{1}{4}$

$\frac{2}{3} y = \frac{}{}$

$y = \frac{}{}$ $\frac{2}{3}$

$y = \frac{}{} = \frac{}{}$

Kontroll

$\frac{5}{6} : (\frac{2}{3} \cdot \frac{}{} - \frac{1}{4}) =$

$\frac{5}{6} : (\frac{}{} - \frac{1}{4}) = \frac{5}{6} : \frac{}{} =$

$= \frac{5}{6} \cdot \frac{}{} = \frac{}{}$

Vastus. Võrrandi lahend on $y = \frac{}{} .$

Näide

$\frac{1}{5} x + \frac{2}{5} x = 2$

$(\frac{\overset{\underset{‿}{3}}{1}}{5} + \frac{\overset{\underset{‿}{1}}{2}}{15}) x = 2$

$\frac{3 + 2}{15} \cdot x = 2$

$\frac{5}{15} x = 2$

$\frac{1}{3} x = 2$

$x = 2 : \frac{1}{3}$

$x = 6$

Kontroll

$\frac{1}{5} \cdot 6 + \frac{2}{15} \cdot 6 = \frac{6}{5} + \frac{4}{5} = \frac{10}{5} = 2$

Seotud sisu

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Hariliku murru jagamine hariliku murruga (1)

Seotud sisu

Kuidas jagada harilikku murdu hariliku murruga?

Näide

Seotud sisu

Harjutan

Seotud sisu

Kuidas jagada segaarve?

Näited

Seotud sisu

Harjutan

Seotud sisu

Matemaatikaklubi

Näide

Seotud sisu

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