Explicación paso a paso:
INSTRUCCIONES: RESUELVE LAS OPERACIONES CON FRACCIONES
Suma:
1.
[tex]\frac{2}{5} + \frac{3}{7}=\frac{(2)(7) + (3)(5) }{35} =\frac{14+15}{35} =\frac{29}{35}[/tex]
2.
[tex]\frac{3}{8} + \frac{1}{6}=\frac{(3)(3) + (1)(4) }{24} =\frac{9+4}{24} =\frac{13}{24}[/tex]
3.
[tex]\frac{5}{9} + \frac{4}{8}=\frac{(5)(8) + (4)(9) }{72} =\frac{40+36}{72} =\frac{76}{72} =\frac{19}{18}[/tex]
4.
[tex]\frac{1}{3} + \frac{2}{4}=\frac{(1)(4) + (2)(3) }{12} =\frac{4+6}{12} =\frac{10}{12} =\frac{5}{6}[/tex]
5.
[tex]\frac{9}{11} + \frac{6}{7}=\frac{(9)(7) + (6)(11) }{77} =\frac{63+66}{77} =\frac{129}{77} =\frac{129}{77}[/tex]
Resta:
[tex]\frac{3}{2} - \frac{4}{7}=\frac{(3)(7) - (4)(2) }{14} =\frac{21-8}{14} =\frac{13}{14}[/tex]
[tex]\frac{9}{8} - \frac{3}{5}=\frac{(9)(5) - (3)(8) }{40} =\frac{45-24}{40} =\frac{21}{40}[/tex]
[tex]\frac{7}{4} - \frac{6}{7}=\frac{(7)(7) - (6)(4) }{28} =\frac{49-24}{28} =\frac{25}{28}[/tex]
[tex]\frac{6}{7} - \frac{4}{10}=\frac{(6)(10) - (4)(7) }{70} =\frac{60-28}{70} =\frac{32}{70} =\frac{16}{35}[/tex]
[tex]\frac{6}{4} - \frac{3}{9}=\frac{(6)(9) - (3)(4) }{36} =\frac{54-12}{36} =\frac{42}{36} =\frac{7}{6}[/tex]
Multiplicación:
[tex]\frac{1}{5}\times \frac{7}{10}=\frac{1 \times 7}{5 \times 10}=\frac{7}{50}[/tex]
[tex]\frac{4}{6}\times \frac{1}{2}=\frac{4 \times 1}{6 \times 2}=\frac{4}{12} =\frac{1}{3}[/tex]
[tex]\frac{8}{9}\times \frac{3}{7}=\frac{8 \times 3}{9 \times 7}=\frac{24}{63} =\frac{8}{21}[/tex]
[tex]\frac{4}{8}\times \frac{2}{7}=\frac{4 \times 2}{8 \times 7}=\frac{8}{56} =\frac{1}{7}[/tex]
[tex]\frac{6}{7}\times \frac{1}{5}=\frac{6 \times 1}{7 \times 5}=\frac{6}{35}[/tex]
División:
[tex]\frac{7}{3}\div \frac{4}{5} = \frac{7}{3}\times \frac{5}{4} = \frac{7 \times 5}{3 \times 4} = \frac{35}{12}[/tex]
[tex]\frac{2}{8}\div \frac{7}{1} = \frac{2}{8}\times \frac{1}{7} = \frac{2 \times 1}{8 \times 7} = \frac{2}{56} = \frac{1}{28}[/tex]
[tex]\frac{5}{1000}\div \frac{6}{100} = \frac{5}{1000}\times \frac{100}{6} = \frac{5 \times 100}{1000 \times 6} = \frac{500}{6000} = \frac{1}{12}[/tex]
[tex]\frac{10}{100}\div \frac{8}{10} = \frac{10}{100}\times \frac{10}{8} = \frac{10 \times 10}{100 \times 8} = \frac{100}{800} = \frac{1}{8}[/tex]
[tex]\frac{9}{10}\div \frac{3}{2} = \frac{9}{10}\times \frac{2}{3} = \frac{9 \times 2}{10 \times 3} = \frac{18}{30} = \frac{3}{5}[/tex]
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Verified answer
Explicación paso a paso:
INSTRUCCIONES: RESUELVE LAS OPERACIONES CON FRACCIONES
Suma:
1.
[tex]\frac{2}{5} + \frac{3}{7}=\frac{(2)(7) + (3)(5) }{35} =\frac{14+15}{35} =\frac{29}{35}[/tex]
2.
[tex]\frac{3}{8} + \frac{1}{6}=\frac{(3)(3) + (1)(4) }{24} =\frac{9+4}{24} =\frac{13}{24}[/tex]
3.
[tex]\frac{5}{9} + \frac{4}{8}=\frac{(5)(8) + (4)(9) }{72} =\frac{40+36}{72} =\frac{76}{72} =\frac{19}{18}[/tex]
4.
[tex]\frac{1}{3} + \frac{2}{4}=\frac{(1)(4) + (2)(3) }{12} =\frac{4+6}{12} =\frac{10}{12} =\frac{5}{6}[/tex]
5.
[tex]\frac{9}{11} + \frac{6}{7}=\frac{(9)(7) + (6)(11) }{77} =\frac{63+66}{77} =\frac{129}{77} =\frac{129}{77}[/tex]
Resta:
1.
[tex]\frac{3}{2} - \frac{4}{7}=\frac{(3)(7) - (4)(2) }{14} =\frac{21-8}{14} =\frac{13}{14}[/tex]
2.
[tex]\frac{9}{8} - \frac{3}{5}=\frac{(9)(5) - (3)(8) }{40} =\frac{45-24}{40} =\frac{21}{40}[/tex]
3.
[tex]\frac{7}{4} - \frac{6}{7}=\frac{(7)(7) - (6)(4) }{28} =\frac{49-24}{28} =\frac{25}{28}[/tex]
4.
[tex]\frac{6}{7} - \frac{4}{10}=\frac{(6)(10) - (4)(7) }{70} =\frac{60-28}{70} =\frac{32}{70} =\frac{16}{35}[/tex]
5.
[tex]\frac{6}{4} - \frac{3}{9}=\frac{(6)(9) - (3)(4) }{36} =\frac{54-12}{36} =\frac{42}{36} =\frac{7}{6}[/tex]
Multiplicación:
1.
[tex]\frac{1}{5}\times \frac{7}{10}=\frac{1 \times 7}{5 \times 10}=\frac{7}{50}[/tex]
2.
[tex]\frac{4}{6}\times \frac{1}{2}=\frac{4 \times 1}{6 \times 2}=\frac{4}{12} =\frac{1}{3}[/tex]
3.
[tex]\frac{8}{9}\times \frac{3}{7}=\frac{8 \times 3}{9 \times 7}=\frac{24}{63} =\frac{8}{21}[/tex]
4.
[tex]\frac{4}{8}\times \frac{2}{7}=\frac{4 \times 2}{8 \times 7}=\frac{8}{56} =\frac{1}{7}[/tex]
5.
[tex]\frac{6}{7}\times \frac{1}{5}=\frac{6 \times 1}{7 \times 5}=\frac{6}{35}[/tex]
División:
1.
[tex]\frac{7}{3}\div \frac{4}{5} = \frac{7}{3}\times \frac{5}{4} = \frac{7 \times 5}{3 \times 4} = \frac{35}{12}[/tex]
2.
[tex]\frac{2}{8}\div \frac{7}{1} = \frac{2}{8}\times \frac{1}{7} = \frac{2 \times 1}{8 \times 7} = \frac{2}{56} = \frac{1}{28}[/tex]
3.
[tex]\frac{5}{1000}\div \frac{6}{100} = \frac{5}{1000}\times \frac{100}{6} = \frac{5 \times 100}{1000 \times 6} = \frac{500}{6000} = \frac{1}{12}[/tex]
4.
[tex]\frac{10}{100}\div \frac{8}{10} = \frac{10}{100}\times \frac{10}{8} = \frac{10 \times 10}{100 \times 8} = \frac{100}{800} = \frac{1}{8}[/tex]
5.
[tex]\frac{9}{10}\div \frac{3}{2} = \frac{9}{10}\times \frac{2}{3} = \frac{9 \times 2}{10 \times 3} = \frac{18}{30} = \frac{3}{5}[/tex]