Question

Resuelva los siguientes ejercicios con procedimiento. (AYUDA PORFI, SI NO SABEN NO RESPONDAN)
A. 3/3 + 1/3 + 7/9 =
B. 4/4 + 5/3 + 2/12 =
C. 5/12 + 8/24 + 2/3 =
D. 2/5 + 7/5 - 4/15 =
E. 5/3 + 6/6 + 7/9 =
5/10 + 6/5 + 7/20 =

Answer 1

Respuesta:

• 47/27
• 17/6
• 17/12
• 23/15
• 31/9
• 41/20

Explicación paso a paso:

a)

$\frac{3}{3} + \frac{1}{3} + \frac{7}{9} \\ \frac{1}{1} + \frac{1}{3} + \frac{7}{9} \\ \frac{1(3) + 1(1)}{1(3)} + \frac{7}{9} \\ \frac{3 + 1}{3} + \frac{7}{9} \\ \frac{4}{3} + \frac{7}{9} \\ \frac{4(9) + 3(7)}{3(9)} \\ \frac{36 + 21}{27} \\ \frac{47}{27}$

b)

$\frac{4}{4} + \frac{5}{3} + \frac{2}{12} \\ \frac{1}{1} + \frac{5}{3} + \frac{1}{6} \\ \frac{1(3) + 1(5)}{1(3)} + \frac{1}{6} \\ \frac{3 + 5}{3} + \frac{1}{6} \\ \frac{8}{3} + \frac{1}{6} \\ \frac{8(6) + 3(1)}{3(6)} \\ \frac{48+ 3}{18} \\ \frac{51}{18} \\ \frac{17}{6}$

c)

$\frac{5}{12} + \frac{8}{24} + \frac{2}{3} \\ \frac{5}{12} + \frac{1}{3} + \frac{2}{3} \\ \frac{5(3) + 12(1)}{3(12)} + \frac{2}{3} \\ \frac{15 + 12}{36} + \frac{2}{3} \\ \frac{27}{36} + \frac{2}{3} \\ \frac{3}{4} + \frac{2}{3} \\ \frac{3(3) + 4(2)}{3(4)} \\ \frac{9 + 8}{12} \\ \frac{17}{12}$

d)

$\frac{2}{5} + \frac{7}{5} - \frac{4}{15} \\ \frac{2(5) + 5(7)}{5(5)} - \frac{4}{15} \\ \frac{10 + 35}{25} - \frac{4}{15} \\ \frac{45}{25} - \frac{4}{15} \\ \frac{9}{5} - \frac{4}{15} \\ \frac{9(15) - 5(4)}{5(15)} \\ \frac{135 - 20}{75} \\ \frac{115}{75} \\ \frac{23}{15}$

e)

$\frac{5}{3} + \frac{6}{6} + \frac{7}{9} \\ \frac{5}{3} + \frac{1}{1} + \frac{7}{9} \\ \frac{5(1) + 3(1)}{3(1)} + \frac{7}{9} \\ \frac{5 + 3}{3} + \frac{7}{9} \\ \frac{8}{3} + \frac{7}{9} \\ \frac{8(9) + 3(7)}{3(9)} \\ \frac{72 + 21}{27} \\ \frac{93}{27} \\ \frac{31}{9}$

f)

$\frac{5}{10} + \frac{6}{5} + \frac{7}{20} \\ \frac{1}{2} + \frac{6}{5} + \frac{7}{20} \\ \frac{1(5) + 2(6)}{2(5)} + \frac{7}{20} \\ \frac{ 5 + 12}{10} + \frac{7}{20} \\ \frac{17}{10} + \frac{7}{20} \\ \frac{17(20) + 10(7)}{10(20)} \\ \frac{340 + 70}{200} \\ \frac{410}{200} \\ \frac{41}{20}$