Question

Me ajudem pfvvvv, to com muita duvida nessas contas de fração!

Answer 1

Explicação passo-a-passo:

1

$( \frac{1}{2}) {}^{2} \times \frac{1}{ 3} + \frac{1}{4} \div \frac{1}{3} \\ ( \frac{1}{2}) {}^{2} = \frac{1 {}^{2} }{2 {}^{2} } = \frac{1}{2 {}^{2} } = \frac{1}{4} \\ \frac{1}{4} \times \frac{1}{3} + \frac{1}{4} \div \frac{1}{3} \\ \frac{1}{4} \times \frac{1}{3} + \frac{1}{4} \times 3 \\ \frac{1}{4} \times \frac{1}{3} = \frac{1 \times 1}{4 \times 3} = \frac{1}{4 \times 3} = \frac{1}{12} \\ \frac{1}{12} + \frac{1}{4} \times 3 \\ \frac{1}{4} \times 3 = \frac{1}{4} \times \frac{3}{1} = \frac{1 \times 3}{4 \times 1} = \frac{3}{4 \times 1} = \frac{3}{4} \\ \frac{1}{12} + \frac{3}{4} = \frac{5}{6}$

2

$\frac { \frac { 2 } { 5 } + \frac { 1 } { 2 } } { 2 - \frac { 1 } { 6 } } \\ \frac{\frac{4}{10}+\frac{5}{10}}{2-\frac{1}{6}} \\ \frac{\frac{4+5}{10}}{2-\frac{1}{6}} \\ \frac{\frac{9}{10}}{2-\frac{1}{6}} \\ \frac{\frac{9}{10}}{\frac{12}{6}-\frac{1}{6}} \\ \frac{\frac{9}{10}}{\frac{12-1}{6}} \\ \frac{\frac{9}{10}}{\frac{11}{6}} \\ \frac{9}{10}\times \left(\frac{6}{11}\right) \\ \frac{9\times 6}{10\times 11} \\ \frac{54}{110} \\ \frac{27}{55}$

3

$\frac { 5 } { 7 } : \frac { 3 } { 4 } = \\ \frac{5}{7}\times \left(\frac{4}{3}\right) \\ \frac{5\times 4}{7\times 3} \\ \frac{20}{21}$

4

$\frac { 11 } { 3 } : \frac { 2 } { 9 } \\ \frac{11}{3}\times \left(\frac{9}{2}\right) \\ \frac{11\times 9}{3\times 2} \\ \frac{99}{6} \\ \frac{33}{2}$

5

$\frac { 5 } { 8 } : 4 = \\ \frac{5}{8\times 4} \\ \frac{5}{32}$

6

$7 : \frac { 4 } { 3 } = \\ 7\times \left(\frac{3}{4}\right) \\ \frac{7\times 3}{4} \\ \frac{21}{4}$

7

$\frac { \frac { 3 } { 8 } + \frac { 5 } { 4 } - \frac { 5 } { 6 } } { 2 - \frac { 6 } { 5 } } \\ \frac{\frac{3}{8}+\frac{10}{8}-\frac{5}{6}}{2-\frac{6}{5}} \\ \frac{\frac{3+10}{8}-\frac{5}{6}}{2-\frac{6}{5}} \\ \frac{\frac{13}{8}-\frac{5}{6}}{2-\frac{6}{5}} \\ \frac{\frac{39}{24}-\frac{20}{24}}{2-\frac{6}{5}} \\ \frac{\frac{39-20}{24}}{2-\frac{6}{5}} \\ \frac{\frac{19}{24}}{2-\frac{6}{5}} \\ \frac{\frac{19}{24}}{\frac{10}{5}-\frac{6}{5}} \\ \frac{\frac{19}{24}}{\frac{10-6}{5}} \\ \frac{\frac{19}{24}}{\frac{4}{5}} \\ \frac{19}{24}\times \left(\frac{5}{4}\right) \\ \frac{19\times 5}{24\times 4} \\ \frac{95}{96}$

Espero ter ajudado! Coloquei as respostas conforme a sequência das imagens ok?