Jawaban:
1. 5 1/20
2. 7 79/90
3. 7 3/5
4. 11 19/50
Penjelasan dengan langkah-langkah:
[tex]1. \: 3 \frac{1}{2} + 2 \frac{4}{5} - 1 \frac{1}{4} \\ = \frac{7}{2} + \frac{14}{5} - \frac{5}{4} \\ = ( \frac{7 \times 10}{2 \times 10} ) + ( \frac{14 \times 4}{5 \times 4} ) - ( \frac{5 \times 5}{4 \times 5} ) \\ = \frac{70}{20} + \frac{56}{20} - \frac{25}{20} \\ = \frac{101}{20} = 5 \frac{1}{20} [/tex]
[tex]2. \: 10 \frac{3}{4} - 4 \frac{2}{9} + 1 \frac{7}{20} \\ = \frac{43}{4} - \frac{38}{9} + \frac{27}{20} \\ = ( \frac{43 \times 45}{4 \times 45}) - ( \frac{38 \times 20}{9 \times 20} ) + ( \frac{27 \times 9}{20 \times 9} ) \\ = \frac{1935}{180} - \frac{760}{180} + \frac{243}{180} \\ = \frac{1418}{180} \div \frac{2}{2} \\ = \frac{709}{90} = 7 \frac{79}{90} [/tex]
[tex]3. \: 8 \frac{11}{20} + 1 \frac{4}{5} - 2 \frac{3}{4} \\ = \frac{171}{20} + \frac{9}{5} - \frac{11}{4} \\ = \frac{171}{20} + (\frac{9 \times 4}{5 \times 4}) - (\frac{11 \times 5}{4 \times 5} ) \\ = \frac{171}{20} + \frac{36}{20} - \frac{55}{20} \\ = \frac{152}{20} \div \frac{4}{4} \\ = \frac{38}{5} = 7 \frac{3}{5} [/tex]
[tex]4. \: 5 \frac{12}{25} - \frac{7}{10} + 6 \frac{3}{5} \\ = \frac{137}{25} - \frac{7}{10} + \frac{33}{5} \\ = ( \frac{137 \times 2}{25 \times 2} ) - (\frac{7 \times 5}{10 \times 5} ) + ( \frac{33 \times 10}{5 \times 10} ) \\ = \frac{274}{50} - \frac{35}{50} + \frac{330}{50} \\ = \frac{569}{50} = 11 \frac{19}{50} [/tex]
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Verified answer
Jawaban:
1. 5 1/20
2. 7 79/90
3. 7 3/5
4. 11 19/50
Penjelasan dengan langkah-langkah:
[tex]1. \: 3 \frac{1}{2} + 2 \frac{4}{5} - 1 \frac{1}{4} \\ = \frac{7}{2} + \frac{14}{5} - \frac{5}{4} \\ = ( \frac{7 \times 10}{2 \times 10} ) + ( \frac{14 \times 4}{5 \times 4} ) - ( \frac{5 \times 5}{4 \times 5} ) \\ = \frac{70}{20} + \frac{56}{20} - \frac{25}{20} \\ = \frac{101}{20} = 5 \frac{1}{20} [/tex]
[tex]2. \: 10 \frac{3}{4} - 4 \frac{2}{9} + 1 \frac{7}{20} \\ = \frac{43}{4} - \frac{38}{9} + \frac{27}{20} \\ = ( \frac{43 \times 45}{4 \times 45}) - ( \frac{38 \times 20}{9 \times 20} ) + ( \frac{27 \times 9}{20 \times 9} ) \\ = \frac{1935}{180} - \frac{760}{180} + \frac{243}{180} \\ = \frac{1418}{180} \div \frac{2}{2} \\ = \frac{709}{90} = 7 \frac{79}{90} [/tex]
[tex]3. \: 8 \frac{11}{20} + 1 \frac{4}{5} - 2 \frac{3}{4} \\ = \frac{171}{20} + \frac{9}{5} - \frac{11}{4} \\ = \frac{171}{20} + (\frac{9 \times 4}{5 \times 4}) - (\frac{11 \times 5}{4 \times 5} ) \\ = \frac{171}{20} + \frac{36}{20} - \frac{55}{20} \\ = \frac{152}{20} \div \frac{4}{4} \\ = \frac{38}{5} = 7 \frac{3}{5} [/tex]
[tex]4. \: 5 \frac{12}{25} - \frac{7}{10} + 6 \frac{3}{5} \\ = \frac{137}{25} - \frac{7}{10} + \frac{33}{5} \\ = ( \frac{137 \times 2}{25 \times 2} ) - (\frac{7 \times 5}{10 \times 5} ) + ( \frac{33 \times 10}{5 \times 10} ) \\ = \frac{274}{50} - \frac{35}{50} + \frac{330}{50} \\ = \frac{569}{50} = 11 \frac{19}{50} [/tex]