Question

Resultado de la suma y resta de estas fracciones

Answer 1

Explicación paso a paso:

$11) \\ 17 \frac{1}{2} + 3 \frac{5}{6} = \\ \\ \frac{2 \times 17 + 1}{2} + \frac{6 \times 3 + 5}{6} = \\ \\ \frac{35}{2} + \frac{23}{6} = \frac{105 + 23}{6} = \frac{128}{6} \\ \\ simplificamos \: y \: queda \frac{64}{3}$

$12) \\ 10 \frac{1}{6} + 12 \frac{1}{10} = \\ \\ \frac{6 \times 10 + 1}{6} + \frac{10 \times 12 + 1}{10} = \\ \\ \frac{61}{6} + \frac{121}{10} = \frac{305 + 363}{30} = \frac{668}{30} \\ \\ simplificamos \: y \: queda \: \frac{334}{15}$

$13) \\ 8 \frac{2}{11} + \frac{9}{11} = \\ \\ \frac{11 \times 8 + 2}{11} + \frac{9}{11} = \\ \\ \frac{90}{11} + \frac{9}{11} = \frac{99}{11} = 9$

$14) \\ 9 \frac{11}{12} - 9 \frac{1}{4} = \\ \\ \frac{12 \times 9 + 11}{12} - \frac{4 \times 9 + 1}{4} = \\ \\ \frac{119}{12} - \frac{37}{4} = \frac{119 - 111}{12} = \frac{8}{12} \\ \\ simplificamos \: y \: queda \: \frac{2}{3}$

$15) \\ 22 - 11 \frac{6}{15} = \\ \\ 22 - \frac{15 \times 11 + 6}{15} = \\ \\ 22 - \frac{171}{15} = \frac{330 - 171}{15} = \frac{159}{15} \\ \\ simplificamos \: y \: queda \: \frac{53}{5}$

$16) \\ 15 \frac{ 2}{6} - 4 \frac{7}{9} = \\ \\ \frac{6 \times 15 + 2}{6} - \frac{9 \times 4 + 7}{9} = \\ \\ \frac{92}{6} - \frac{43}{9} = \\ \\ \frac{46}{3} - \frac{43}{9} = \frac{138 - 43}{9} = \frac{95}{9}$