Question

Efetue as seguintes somas, simplificando o resultado quando possível:

1.a) 3\15 + 8\15
1.b) 7\12 + 5\2
1.c) 1\2 +1\5
1.d) 1\2 + 1\3 + 1\6

Answer 1

$a) \red{ \frac{11}{15} } \: \: \: \: \: \: \: b) \red {\frac{37}{12} } \: \: \: \: \: \: c) \red{ \frac{7}{10}} \: \: \: \: \: \: d) \red{1}$

explicação passo a passo:

$a) \blue{ \frac{3}{15} + \frac{8}{15} } \\ \\ \frac{3}{15} + \frac{8}{15} \\ \\ \frac{3 + 8}{15} \\ \\ \frac{11}{15} \\ resposta \\ \green{ \frac{11}{15} } \\ \\ b) \blue{ \frac{7}{12} + \frac{5}{2} } \\ \\ \frac{7}{12} + \frac{5}{2} \\ \\ \frac{7}{12} + \frac{5 \times 6}{2 \times 6} \\ \\ \frac{7}{12} + \frac{30}{2 \times 6} \\ \\ \frac{7}{12} + \frac{30}{12} \\ \\ \frac{7}{12} + \frac{5 \times 6}{2 \times 6} \\ \\ \frac{7}{12} + \frac{30}{12} \\ \\ \frac{7 + 30}{12} \\ \\ \frac{37}{12} \\ resposta \\ \green{ \frac{37}{12} }$

$c) \blue{ \frac{1}{2} + \frac{1}{5}} \\ \\ \frac{1}{2} + \frac{1}{5} \\ \\ \frac{1 \times 5}{2 \times 5} + \frac{1 \times 2}{5 \times 2} \\ \\ \frac{5}{2 \times 5} + \frac{1 \times 2}{5 \times 2} \\ \\ \frac{5}{10} + \frac{1 \times 2}{5 \times 2} \\ \\ \frac{5}{10} + \frac{2}{5 \times 2} \\ \\ \frac{5}{10} + \frac{2}{10} \\ \\ \frac{1 \times 5}{2 \times 5} + \frac{1 \times 2}{5 \times 2} \\ \\ \frac{5}{10} + \frac{2}{10} \\ \\ \frac{5 + 2}{10} \\ \\ \frac{7}{10} \\ resposta \\ \green{ \frac{7}{10} }$

$d) \blue{ \frac{1}{2} + \frac{1}{3} + \frac{1}{6}} \\ \\ \frac{1}{2} + \frac{1}{3} + \frac{1}{6} \\ \\ \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} + \frac{1}{6} \\ \\ \frac{3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} + \frac{1}{6} \\ \\ \frac{3}{6} + \frac{1 \times 2}{3 \times 2} + \frac{1}{6} \\ \\ \frac{3}{6} + \frac{2}{3 \times 2} + \frac{1}{6} \\ \\ \frac{3}{6} + \frac{2}{6} + \frac{1}{6} \\ \\ \frac{ 1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} + \frac{1}{6} \\ \\ \frac{3}{6} + \frac{2}{6} + \frac{1}{6} \\ \\ \frac{3 + 2 + 1}{6} \\ \\ 3 + 2 + 1 \\ 5 + 1 \\ 6 \\ \\ \frac{3 + 2 + 1}{6} \\ \\ \frac{6}{6} \\ \\ \frac{ \cancel6}{ \cancel6} \\ \\ 1 \\ resposta \\ \green{1}$