Matematika 4/5:[5/6 - 1/3] × 2/5 =​

valentinekingulv – June 10, 2023

4/5:[5/6 - 1/3] × 2/5 =​

Jawaban:

Penyelesaian :

[tex]\sf \frac{4}{5} : ( \frac{5}{6} - \frac{1}{3} ) \times \frac{2}{5} [/tex]

[tex]\sf = \frac{4}{5} : ( \frac{5 \: - \: 2}{6} ) \times \frac{2}{5} [/tex]

[tex]\sf = ( \frac{4}{5} : \frac{3}{6} ) \times \frac{2}{5} [/tex]

[tex]\sf = ( \frac{4}{5} \times \frac{6}{3} ) \times \frac{2}{5} [/tex]

[tex]\sf = \frac{24}{15} \times \frac{2}{5} [/tex]

[tex]\sf = \frac{48}{75} [/tex]

[tex]\sf = \frac{16}{25} [/tex]

" Penyelesaian soal «

[tex] \: [/tex]

[tex] \tt \: \frac{4}{5} \div (\frac{5}{6} - \frac{1}{3} ) \times \frac{2}{5} [/tex]

[tex] \tt \: = \frac{4}{5} \div ( \frac{5 \times 3}{6 \times 3} - \frac{1 \times 6}{3 \times 6} ) \times \frac{2}{5} [/tex]

[tex] \tt \: = \frac{4}{5} \div( \frac{15}{18} - \frac{6}{18} ) \times \frac{2}{5} [/tex]

[tex] \tt \: = \frac{4}{5} \div \frac{9}{18} \times \frac{2}{5} [/tex]

[tex] \tt \: = \frac{4}{5} \times \frac{18}{9} \times \frac{2}{5} [/tex]

[tex] \tt \: = \frac{72}{45} \times \frac{2}{5} [/tex]

[tex] \tt \: = \frac{144}{225} [/tex]

[tex] \tt \: = \frac{144 \div 9}{225 \div 9} [/tex]

[tex] \tt \: = \frac{16}{25} [/tex]

#AyoBelajar

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