Question

a) 2/7 + 1/2 + 5/14

b) 7/6 + 11/30 + 2/3

c) 10/15 + 6/4 + 5/12

d) 3/8 - 1/5

e) 6/10 - 4/9

Answer 1

Explicación paso a paso:

La suma o resta de fracciones es una de las operaciones básicas que permite combinar dos o más fracciones

a)

[tex]\frac{2}{7} + \frac{1}{2}+ \frac{5}{14}=\frac{(2)(2) +(1)(7) +(5)(1) }{14} =\frac{4+7+5}{14} =\frac{16}{14} =\frac{8}{7}[/tex]

b)

[tex]\frac{7}{6} + \frac{11}{30}+ \frac{2}{3}=\frac{(7)(5) +(11)(1) +(2)(10) }{30} =\frac{35+11+20}{30} =\frac{66}{30} =\frac{11}{5}[/tex]

c)

[tex]\frac{10}{15} + \frac{6}{4}+ \frac{5}{12}=\frac{(10)(4) +(6)(15) +(5)(5) }{60} =\frac{40+90+25}{60} =\frac{155}{60} =\frac{31}{12}[/tex]

d)

[tex]\frac{3}{8} - \frac{1}{5}=\frac{(3)(5) - (1)(8) }{40} =\frac{15-8}{40} =\frac{7}{40}[/tex]

e)

[tex]\frac{6}{10} - \frac{4}{9}=\frac{(6)(9) - (4)(10) }{90} =\frac{54-40}{90} =\frac{14}{90} =\frac{7}{45}[/tex]