Question

ayar paso a paso el resultado de las siguientes operaciones
a)5 enteros 4/5+3enteros 2/3
b)9 enteros 3/5 +4enteros 1/10
c)4 enteros 2/4 -2 entero 5/6
d) 3 enteros 1/5-8/5
e) 7 enteros 1/4 -9/4​

Answer 1

Explicación paso a paso:

a)

$5 \frac{4}{5} + 3 \frac{2}{3} \\ \\ (\frac{5 \times 5 + 4}{5} ) + ( \frac{3 \times 3 + 2}{3} ) \\ \\ \frac{29}{5} + \frac{11}{3} = \frac{87 + 55}{15} = \frac{142}{15}$

b)

$9 \frac{3}{5} + 4 \frac{1}{10} \\ \\ ( \frac{5 \times 9 + 3}{5} ) + ( \frac{10 \times 4 + 1}{10} ) \\ \\ \frac{48}{5} + \frac{41}{10} = \frac{96 + 41}{10} = \frac{137}{10}$

c)

$4 \frac{2}{4} - 2 \frac{5}{6} \\ \\ ( \frac{4 \times 4 + 2}{4}) - ( \frac{6 \times 2 + 5}{6} ) \\ \\ \frac{18}{4} - \frac{17}{6} = \\ \\ \frac{9}{2} - \frac{17}{6} = \frac{27 -17 }{6} = \frac{10}{6} = \frac{5}{3}$

d)

$3 \frac{1}{5} - \frac{8}{5} = ( \frac{5 \times 3 + 1}{5} ) - \frac{8}{5} = \\ \\ \frac{16}{5} - \frac{8}{5} = \frac{8}{5}$

e)

$7 \frac{1}{4} - \frac{9}{4} = ( \frac{4 \times 7 + 1}{4} ) - \frac{9}{4} = \\ \\ \frac{29}{4} - \frac{9}{4} = \frac{20}{4} = 5$