Question

Efetue as operações indicadas e simplifique os resultados quando possível.

a)

$\frac{1}{4} + \frac{5}{4} =$

b)

$\frac{7}{9} - \frac{1}{9} =$

c)

$\frac{18}{11} - \frac{4}{11} =$

d)

$\frac{1}{4} + \frac{1}{2} =$

e)

$\frac{2}{8} + \frac{1}{4} =$

f)

$\frac{1}{4} - \frac{1}{6} =$

g)

$\frac{1}{3} + \frac{2}{3} + \frac{4}{3} =$

h)

$\frac{9}{4} - \frac{1}{4} - \frac{3}{4} =$

i)

$\frac{4}{5} + 2 \frac{1}{2} + \frac{5}{6} =$

j)

$\frac{8}{15} + \frac{4}{15} - \frac{1}{5} =$
( Obs: Resposta certa ou report)​

Answer 1

Resposta:

a)

$\frac{1}{4} + \frac{5}{4} = \frac{1 + 6}{4} = \dfrac{7}{4}$

b)

$\frac{7}{9} + \frac{1}{9} = \frac{7 - 1}{9} = \frac{6 \div 3}{9 \div 3} \\ \\ = \dfrac{2}{3}$

c)

$\frac{18}{11} - \frac{4}{11} = \frac{18 - 4}{11} = \dfrac{14}{11}$

d)

$\frac{1}{4} + \frac{1}{2} = \frac{1 + 2}{4} = \frac{3}{4} \\ \\ mmc \\ 4.2 : 2 \\ 2.1 : 2 \\ 1.1 : \\ 2 \times 2 = 4$

e)

$\frac{2}{8} + \frac{1 \times 2}{4 \times 2} = \\ \\ \frac{2}{8} + \frac{2}{8} = \\ \\ \frac{2 + 2}{8} = \frac{4 \div 4}{8 \div 4} = \dfrac{1}{2}$

f)

$\frac{1}{4} - \frac{1}{6} = \frac{3 - 2}{12} = \dfrac{1}{12}$

g)

$\frac{1}{3} + \frac{2}{3} + \frac{4}{3} = \\ \\ \frac{1 + 2 + 3}{3} = \frac{6}{3} = 2$

h)

$\frac{9}{4} - \frac{1}{4} - \frac{3}{4} = \frac{9 - 1 - 3}{4} = \dfrac{5}{4}$

i)

$\frac{4}{5} + 2 \frac{1}{2} + \frac{5}{6} = \frac{4}{5} + \frac{2 \times 2 + 1}{2} + \frac{5}{6} = \\ \\ \frac{4}{5} + \frac{5}{2} + \frac{5}{6} = \\ \\ \frac{6 \times 4 + 15 \times 5 + 5 \times 5}{30} = \\ \\ \frac{24 + 75 + 25}{30} = \\ \\ \frac{124 \div 2}{30 \div 2} = \\ \\ \dfrac{62}{15}$

j)

$\frac{8}{15} + \frac{4}{15} - \frac{1}{5} = \\ \\ \frac{8 + 4}{15} - \frac{1}{5} = \\ \\ \frac{12}{15} - \frac{1}{5} = \frac{12 - 3}{15} = \\ \\ \frac{9 \div 3}{15 \div 3} = \dfrac{3}{5}$

Bons Estudos!