Berikut ini adalah pertanyaan dari bryanaji78 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas
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Jawaban dan Penjelasan
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![[tex]A. \:( 3 \frac{1}{4} \div 2 \frac{3}{4} ) + 2 \frac{1}{2} = ( \frac{13}{4} \div \frac{11}{4} ) + \frac{5}{2} \\ = ( \frac{13}{4} \times \frac{4}{11} ) + \frac{5}{2} = \frac{13}{11} + \frac{5}{2} \\ = \frac{26 + 55}{22} = \frac{81}{22} = 3 \frac{15}{22} [/tex][tex]B. \: 3 \frac{1}{2} + (5 \frac{1}{3} \div 1 \frac{3}{5}) = \frac{7}{2} + ( \frac{16}{3} \div \frac{8}{5} ) \\ = \frac{7}{2} + ( \frac{16}{3} \times \frac{5}{8} ) = \frac{7}{2} + \frac{10}{3} \\ = \frac{21 + 20}{6} = \frac{41}{6} = 6 \frac{5}{6} [/tex][tex]C. \: 4 \frac{2}{5} +( 1 \frac{2}{3} \times \frac{1}{2}) - (\frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \times \frac{5}{2} ) \\ = \frac{22}{5} - \frac{5}{6} - \frac{3}{2} = \frac{132 -25 - 45 }{30} \\ = \frac{62}{30} = \frac{31}{15} = 2 \frac{1}{15} [/tex][tex]D. \: (6 \frac{7}{8} \times \frac{2}{5} ) - \frac{3}{8} + 4 \frac{5}{6} \\ = (\frac{55}{8} \times \frac{2}{5} ) - \frac{3}{8} + \frac{29}{6} \\ = \frac{11}{4} - \frac{3}{8} + \frac{29}{6} \\ = \frac{66 - 12 + 116}{24} \\ = \frac{170}{24} = 7 \frac{2}{24} [/tex]](https://id-static.z-dn.net/files/dd8/abdd7d6fa281083979c86ab53a745677.jpg)
![[tex]A. \:( 3 \frac{1}{4} \div 2 \frac{3}{4} ) + 2 \frac{1}{2} = ( \frac{13}{4} \div \frac{11}{4} ) + \frac{5}{2} \\ = ( \frac{13}{4} \times \frac{4}{11} ) + \frac{5}{2} = \frac{13}{11} + \frac{5}{2} \\ = \frac{26 + 55}{22} = \frac{81}{22} = 3 \frac{15}{22} [/tex][tex]B. \: 3 \frac{1}{2} + (5 \frac{1}{3} \div 1 \frac{3}{5}) = \frac{7}{2} + ( \frac{16}{3} \div \frac{8}{5} ) \\ = \frac{7}{2} + ( \frac{16}{3} \times \frac{5}{8} ) = \frac{7}{2} + \frac{10}{3} \\ = \frac{21 + 20}{6} = \frac{41}{6} = 6 \frac{5}{6} [/tex][tex]C. \: 4 \frac{2}{5} +( 1 \frac{2}{3} \times \frac{1}{2}) - (\frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \times \frac{5}{2} ) \\ = \frac{22}{5} - \frac{5}{6} - \frac{3}{2} = \frac{132 -25 - 45 }{30} \\ = \frac{62}{30} = \frac{31}{15} = 2 \frac{1}{15} [/tex][tex]D. \: (6 \frac{7}{8} \times \frac{2}{5} ) - \frac{3}{8} + 4 \frac{5}{6} \\ = (\frac{55}{8} \times \frac{2}{5} ) - \frac{3}{8} + \frac{29}{6} \\ = \frac{11}{4} - \frac{3}{8} + \frac{29}{6} \\ = \frac{66 - 12 + 116}{24} \\ = \frac{170}{24} = 7 \frac{2}{24} [/tex]](https://id-static.z-dn.net/files/d15/a9d1b3d15d81a52cbdcb1dc059910b41.jpg)
![[tex]A. \:( 3 \frac{1}{4} \div 2 \frac{3}{4} ) + 2 \frac{1}{2} = ( \frac{13}{4} \div \frac{11}{4} ) + \frac{5}{2} \\ = ( \frac{13}{4} \times \frac{4}{11} ) + \frac{5}{2} = \frac{13}{11} + \frac{5}{2} \\ = \frac{26 + 55}{22} = \frac{81}{22} = 3 \frac{15}{22} [/tex][tex]B. \: 3 \frac{1}{2} + (5 \frac{1}{3} \div 1 \frac{3}{5}) = \frac{7}{2} + ( \frac{16}{3} \div \frac{8}{5} ) \\ = \frac{7}{2} + ( \frac{16}{3} \times \frac{5}{8} ) = \frac{7}{2} + \frac{10}{3} \\ = \frac{21 + 20}{6} = \frac{41}{6} = 6 \frac{5}{6} [/tex][tex]C. \: 4 \frac{2}{5} +( 1 \frac{2}{3} \times \frac{1}{2}) - (\frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \times \frac{5}{2} ) \\ = \frac{22}{5} - \frac{5}{6} - \frac{3}{2} = \frac{132 -25 - 45 }{30} \\ = \frac{62}{30} = \frac{31}{15} = 2 \frac{1}{15} [/tex][tex]D. \: (6 \frac{7}{8} \times \frac{2}{5} ) - \frac{3}{8} + 4 \frac{5}{6} \\ = (\frac{55}{8} \times \frac{2}{5} ) - \frac{3}{8} + \frac{29}{6} \\ = \frac{11}{4} - \frac{3}{8} + \frac{29}{6} \\ = \frac{66 - 12 + 116}{24} \\ = \frac{170}{24} = 7 \frac{2}{24} [/tex]](https://id-static.z-dn.net/files/dbf/8bdb38d73341bf510900c083df987219.jpg)
![[tex]A. \:( 3 \frac{1}{4} \div 2 \frac{3}{4} ) + 2 \frac{1}{2} = ( \frac{13}{4} \div \frac{11}{4} ) + \frac{5}{2} \\ = ( \frac{13}{4} \times \frac{4}{11} ) + \frac{5}{2} = \frac{13}{11} + \frac{5}{2} \\ = \frac{26 + 55}{22} = \frac{81}{22} = 3 \frac{15}{22} [/tex][tex]B. \: 3 \frac{1}{2} + (5 \frac{1}{3} \div 1 \frac{3}{5}) = \frac{7}{2} + ( \frac{16}{3} \div \frac{8}{5} ) \\ = \frac{7}{2} + ( \frac{16}{3} \times \frac{5}{8} ) = \frac{7}{2} + \frac{10}{3} \\ = \frac{21 + 20}{6} = \frac{41}{6} = 6 \frac{5}{6} [/tex][tex]C. \: 4 \frac{2}{5} +( 1 \frac{2}{3} \times \frac{1}{2}) - (\frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \div \frac{2}{5} ) \\ = \frac{22}{5} + (\frac{5}{3} \times \frac{1}{2}) - ( \frac{3}{5} \times \frac{5}{2} ) \\ = \frac{22}{5} - \frac{5}{6} - \frac{3}{2} = \frac{132 -25 - 45 }{30} \\ = \frac{62}{30} = \frac{31}{15} = 2 \frac{1}{15} [/tex][tex]D. \: (6 \frac{7}{8} \times \frac{2}{5} ) - \frac{3}{8} + 4 \frac{5}{6} \\ = (\frac{55}{8} \times \frac{2}{5} ) - \frac{3}{8} + \frac{29}{6} \\ = \frac{11}{4} - \frac{3}{8} + \frac{29}{6} \\ = \frac{66 - 12 + 116}{24} \\ = \frac{170}{24} = 7 \frac{2}{24} [/tex]](https://id-static.z-dn.net/files/d45/1c046bc78d0d8597de85d9da901dc42a.jpg)
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Last Update: Sat, 26 Jun 21