Matematika Sekolah Menengah Atas Tolong jawab pliss
Tanggal 15-7-2022
Besok d kumpulin mohon bantuannya ya

Tolong jawab pliss
Tanggal 15-7-2022
Besok d kumpulin mohon bantuannya ya

NOMOR 1.

[tex] \frac{3}{8} + \frac{5}{12} = \frac{(3 \times 3) + (5 \times 2)}{24} = \frac{9 + 10}{24} = \frac{19}{24} [/tex]

NOMOR 2.

[tex] \frac{6}{7} - \frac{5}{8} = \frac{(6 \times 8) - (5 \times 7)}{56} = \frac{48 - 35}{56} = \frac{13}{56} [/tex]

NOMOR 3.

[tex]1 \frac{1}{6} + 2 \frac{3}{7} - \frac{1}{2} [/tex]

[tex] = \frac{7}{6} + \frac{17}{7} - \frac{1}{2} [/tex]

[tex] = \frac{(7 \times 7) + (17 \times 6) - (1 \times 21)}{42} [/tex]

[tex] = \frac{49 + 102 - 21}{42} = \frac{130}{42} = \frac{65}{21} = 3 \frac{2}{21} [/tex]

NOMOR 4.

[tex] \frac{1}{4} + \frac{2}{3} - \frac{3}{8} [/tex]

[tex] = \frac{(1 \times 6) + (2 \times 8) - (3 \times 3)}{24} [/tex]

[tex] = \frac{6 + 16 - 9}{24} = \frac{13}{24} [/tex]

NOMOR 5.

[tex] \frac{5}{6} - \frac{4}{5} + \frac{1}{10} [/tex]

[tex] = \frac{(5 \times 5) - (4 \times 6) + (1 \times 3)}{30} [/tex]

[tex] = \frac{25 - 24 + 3}{30} = \frac{4}{30} = \frac{2}{15} [/tex]

NOMOR 6.

[tex]4 \frac{5}{6} - 1 \frac{3}{8} + 2 \frac{1}{4} [/tex]

[tex] = \frac{29}{6} - \frac{11}{8} + \frac{9}{4} [/tex]

[tex] = \frac{(29 \times 4) - (11 \times 3) + (9 \times 6)}{24} [/tex]

[tex] = \frac{116 - 33 + 54}{24} = \frac{137}{24} = 5 \frac{17}{24} [/tex]

NOMOR 7.

[tex]9 - 5 \frac{5}{9} [/tex]

[tex] = 9 - \frac{49}{9} [/tex]

[tex]= \frac{(9 \times 9) - (49 \times 1)}{9} [/tex]

[tex] = \frac{81 - 49}{9} = \frac{32}{9} = 3 \frac{5}{9} [/tex]

NOMOR 8.

[tex]7 - \frac{9}{12} + 1 \frac{1}{3} [/tex]

[tex] = 7 - \frac{9}{12} + \frac{4}{3} [/tex]

[tex] = \frac{(7 \times 12) - (9 \times 1) + (4 \times 4)}{12} [/tex]

[tex]= \frac{84 - 9 + 16}{12} = \frac{91}{12} = 7 \frac{7}{12} [/tex]

NOMOR 9.

[tex]2 + 2 \frac{3}{10} - \frac{1}{8} [/tex]

[tex] = 2 + \frac{23}{10} - \frac{1}{8} [/tex]

[tex] = \frac{(2 \times 40) + (23 \times 4) - (1 \times 5)}{40} [/tex]

[tex] = \frac{80 + 92 - 5}{40} = \frac{167}{40} = 4 \frac{7}{40} [/tex]

NOMOR 10.

[tex]3 \frac{4}{7} - \frac{6}{7} - \frac{16}{21} [/tex]

[tex] = \frac{25}{7} - \frac{6}{7} - \frac{16}{21} [/tex]

[tex] = \frac{19}{7} - \frac{16}{21} [/tex]

[tex] = \frac{(19 \times 3) - (16 \times 1)}{21} [/tex]

[tex] = \frac{57 - 16}{21} = \frac{41}{21} = 1 \frac{20}{21} [/tex]

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